The flyers & deals will be available June 5 and effective until June 25.  You can typically find the flyer in the turnstyle with the weekly ad. If you don’t see a copy you might ask at the customer service desk.
Publix Coupons in the Flyer (corresponding manufacturer’s coupons in red):
-$2/1 Publix Ground Beef (minimum 1 lb) wyb TWO Lays Kettle Cooked Chips 8.5 oz
-$1/2 Lay’s Kettle Cooked Potato Chips, any 8.5+ oz
-$1/1 SunChips Multigrain Snacks, any (10.5 oz.+) or Lay’s Kettle Cooked Potato Chips, any (8.5 oz.+) – My Magazine – Has Kroger Logo
-$1/1 LAY’S Brand Kettle Cooked Potato Chips, Any 8 1/2 Oz. Bag, Any Flavor – All You, June 2010
-FREE Lay’s Kettle Cooked Potato Chips (8.5 oz) OR Rold Gold Pretzels (10-16 oz.) wyb any (2) 10-15.8 oz. bags Tostito’s Tortilla Chips (“Limit one coupon per customer”) – tearpad
-$3/2 Lays Kettle Cooked Potato Chips 8.5 oz+ wyb Smoking Loon Wine winetag
-$1/1 Publix Ice Cream wyb TWO Smuckers Ice Cream Toppings 15.5 to 20 oz
-$1/2 Smuckers Toppings, Any – 05-16-10 SS
-$1/1 Smuckers Toppings WYB any bag of pepperidge farm chocolate chunk or soft baked cookies tearpad
-$1/2, $.75/2  Smuckers Toppings tearpad
-FREE Ritz Crackers 12 oz wyb THREE Kraft Natural Shreds or Chunk Cheese 7 oz+
-$1/2 Kraft Natural Cheese, any (2) 5 oz+ (manufacturer’s coupon with Kroger logo) home mailer
-$2/1 California Pizza Kitchen 11.9 to 14 oz
-$.75/1 California Pizza Kitchen Limited Edition Pizza, Any – Kraft Food & Family, May/Summer 2010
-$1/1 California pizza ( manufacter cpn with kroger logo) Catalina
-$1/1 California Pizza Kitchen Pizza, Any – 05-02-10 SS
-$1/1 California Pizza Kitchen, Any – on product peelie
-$1/1 Jell-O Sugar Free Gelatin or Pudding 12 pk
-$1/2 Jell-o gelatin, mousse or pudding snacks, any 2 – Add Dairy to your Summer Coupon Book
-$.50/1 Jell-O Refrigerated Sugar Free Gelatin or Rice Pudding Snacks, Any Package – Kraft Food & Family, May/Summer 2010
-$.60/1 Jell-O Gelatin, Pudding Or Mousse Snacks, Any 6-Pack Or Larger (DND 5) blinkie
-$1 off Publix Produce when you buy any one Jello Gelatin or Pudding Snacks PRINT 
-$1/1 Skinny Cow Ice Cream Bars, Sandwiches, or Cow Cones
-$1/1 Skinny Cow, Any 4 Ct. Or Higher – Eat Healty Your Way. Spring, 2010
-$1/1 Immaculate Baking Co. Cookie Dough 14 oz
-$1/2 Immaculate Baking Refrigerated Dough Products Tearpad

-$1/1 Clemmy’s Ice Cream
-$.60/1 Clemmy’s Ice Cream PRINT – thanks Yani!
-$1/1 Dean’s Dip 12 to 16 oz
-$1/2 Dean’s Dip (Must Register) PRINT
-$.55/1 Dean’s Product, Any home mailer

-$1/1 Talenti Sorbetto or Gelatto 16 oz

-$1/1 Philadelphia Soft or Whipped Cream Cheese 12 oz
-$.55/1 Kraft Shredded Cheese Or Philadelphia Cream Cheese, Any Variety, Any (One Coupon Per Customer Per Day, Manufactures Coupon With Food Lion Logo, DND 5) – Kraft Foods Food & Family

-$1/2 Sheer Bliss Ice Cream Pints or 3 pk bars
-$.35/1 Sheer Bliss any Pint or Novelty tearpad

-B2G1 Chobani Non Fat Greek Yogurt 6 oz
-B2G1 Chobani Non Fat Greek Yogurt 6 oz PRINT

-$1/1 Breakstone’s Sour Cream 24 oz
-$1/2 Knudsen or Breakstone sour cream or cottage cheese 16 oz or larger – Add Dairy to your Summer Coupon Book
-$1 off Potatoes wyb Breakstone PRINT

-$.55/1 Bailey’s Coffee Creamer 16 oz
-$.55/1 Baileys non-alcoholic Coffee Creamer, any Tearpad

-$1/1 Almond Breeze 64 oz
-$.55/1 Blue Diamond Almond Breeze PRINT
-$1/1 Blue Diamond Almond Breeze, Any Carton – Mambo Sprouts
-$1/1 One Half Gallon of Blue Diamond Almond Breeze Refrigerated Almondmilk – peelie
-$1/1 Blue Diamond Almond Breeze Almondmilk, any carton – 05-23-10 SS

-$.75/1 Horizon Organic Milk 64 oz
-$.55/1 Horizon organic milk half gallon, any – Add Dairy to your Summer Coupon Book
-$.75/1, $.55/1 Horizon Organic Milk, Half Gallon any 64 oz. (DND 5) blinkie

-$1/2 Friendship Cottage Cheese, Buttermilk, Sour Cream, or Farmer Cheese 7.5 to 24 oz

-$1/1 Polly-O Ricotta 15 oz

-$.55/1 International Delight 16 oz.
-$.55/1 International Delight any pint (must register) PRINT
-$.55/1 International Delight creamer, one pint, any – Add Dairy to your Summer Coupon Book
-B1G1 International Delight, Any Pint Excludes Breve Creme Blends (DND5) blinkie

-$1/2 Sargento Deli Style Sliced Cheese 5.5 to 8 oz
-$1/2, $.55/2, $.50/2, $.40/2 Sargento Natural Sliced Cheese Products, Any – 05-23-10 SS (if included)

-$1/1 Cool Whip Whipped Topping 12 oz
-$1 off Strawberries wyb Cool Whip Whipped Topping peelie

-$1/2 Cabot Products
-$1/1 Cabot Sharp Cheddar Cheese – Cheese Champion booklet
-B1G1 Cabot product, any – valid up to $4.50 – tearpad

-$2/1 Publix Chips (8 oz) wyb a 20 or 24 pk of any Coca Cola product

-FREE 2 Liter Coca Cola product wyb any Publix Deli Family Combo Meal

-Buy Stacy’s Pita Chips 8 oz Get Stacys Bagel Chips FREE
-$1/1 Stacy’s Pita Chips Or Bagel Chips, Any 7 1/3 Oz. Bag Or Larger tearpad

-$1/2 Cluckphrey Vegan-Vegetarian Patties or Moophrey Vegan-Vegetarian Burgers 6 pk/10 oz

-$1/1 Morey’s Fish Creations 10 oz

-$1/1 Cutter Skinsations 4 to 6 oz or Backwoods 6 oz
-$1/1 Cutter product, any excluding flea & tick products – 05-23-10 SS
-$1/1 Cutter Insect Repellant, Any PRINT

-$3/1 Combat Ant or Roach Bait/Gel Kill
-$2/1 Combat PRINT
Deals in the Flyer:
4C Instant Tea 20 to 28 qt, $4.49
Arm & Hammer Super Scoop Scented Cat Litter 14 lb, $5.79
     -$1/1 Arm & Hammer Cat Litter PRINT (must register)
     -$1/1 Arm & Hammer Cat Litter, Any – peelie
     -$1/1 Arm & Hammer FLIP (will add when resets)
Betty Crocker Fiber One Muffin Mix 15.3 oz, 2/$5
     -$2/5 Tearpad
Calorie Free Crystal Bay Beverage 1 ltr, 4/$3
Cerama Bryte Cleaning Pads 10 pk or Cooktop Cleaner 18 oz, $2.99
Chinet Cut Crystal Tumblers 14 oz 18 ct, or 9 oz 25 ct, 2/$4
     -$1/1 Chinet Cut Crystal Cups Or Plates, Any – 03-28-10 SS
Country Time 8 qt or On-the-Go 10 ct or Tang Fruitrition 6 qt, 2/$5
     -$1/2 Country Time drink mix products, any tearpad
     -$1/2 Crystal light, Kool-aid Sugar Free, Kool-aid regular, Kool-aid singles, Country Time or Tang powdered beverages, any except regular kool-aid unsweetened envelopes tearpad
Deer Park Sport or Zephyrhills Sport 6 pk/700 ml, or Deer Park or Zephyrhills 12 pk 8 oz, $1.99
     -$1/1 Zephyrhills brand 100% natural spring water 700 ml 12 pack  or $1/2 700 ml 6pk – 05-16-10 RP
Dreamfields Pasta 13.25 oz, 3/$5
     -$1/1 Dreamfields Pasta (must register) PRINT
     -$1.50/3 Dreamfields Pasta PRINT
Duke’s Mayonnaise or Whipped Salad Dressing 32 oz, $2.99
     -$.50/2, $.25/1 Duke’s Products, any size or variety – 05-16-10 SS
     -$1/1 Duke’s Mayonnaise, Any Jar tearpad
     -$.50/1 Duke’s 32oz Mayo, Light Mayo, or Salad Dressing. – peelie
Eight O’Clock Coffee 33 to 36 oz, $11.99
     -$2/2, $1.50/2, $.75/1 Eight O’Clock Coffee, Any Bags – 04-25-10 SS
     -$2/2 Eight O Clock PRINT
     -$1/1 Eight O Clock PRINT (zip 68118)
Fancy Feast Appetizers for Cats 2 oz trays, any variety, 5/$5
     -$1/2 Purina Fancy Feast Appetizers For Cats, Any Variety 2 Oz. Trays – 05-16-10 SS
Feline Pine Scoop Cat Litter 4.1 lb, $4.99
Fresh Gourmet Salad Toppings 3.5 oz, 2/$3
     -$1/2 Fresh Gourmet Products, Any Includes: Croutons, Crunchy Toppings And Nut & Dried Fruit Salad Toppings (DND 9) – peelie
     -$.75/2 Fresh Gourmet Crispy Onions and Idaho Potatoes or fresh green beans – Fresh Gourmet Crispy Onions
Glad Trash Bags Compactor 18 gal/4 ct, Small 4 gal/30 ct with tie, or Odor Shield small 4 gal/26 ct, 2/$4
     -$1/1 Glad ForceFlex trash bags – Target Coupon home mailer (exp 6/7)
     -$.55/1 Glad Trash Bag Product, save on this Glad Trash Bag Product – Flex Bags peelie
House Autry Seafood or Chicken Breader 8 oz, $1.99
Jell-O Pudding and Gelatin (regular or sugar-free) 6 or 8 servings sizes plus Jell-O Mix-Ins 4-serving size, $.99
     -$.50/1 Jell-O Refrigerated Sugar Free Gelatin or Rice Pudding Snacks, Any Package – Kraft Food & Family, May/Summer 2010
Joy Cone  12 to 24 pk, 2/$4
KoolAid 8 qt or Singles 12 ct, 2/$5
     -$1/1 Kool-Aid, Sugar Free, Any Canister tearpad
     -$1/1 Kool-Aid Singles, Any tearpad
Lindt Lindor Truffles 5.1 oz, 2/$6
     -$1/1 Lindor Truffles Peanut Butter Bag, DND5 – peelie
Marzetti Refrigerated Dressing 15 oz, 2/$5
     -$1/1, $.75/1 Marzetti Salad Dressing, any – 05-16-10 SS
     -$1/1 Marzetti Salad Dressing, any – Dole salad peelie
Marzetti Veggie Dip 13.5 or 15.5 oz, 2/$5
     -$1/1, $.60/1, $.50/1 Marzetti Produce Dip, any 9 oz+ – 05-23-10 SS
     -$1/1 Marzetti PRINT
Mentos Pure Fresh or White Mint 50 ct, 2/$5
     -$1/2, $.55/1 Mentos Sugarfree Gum, Any Bottle (DND 5) – 04-25-10 SS
     -$1/1, $.55/1 Mentos Gum, any 15 piece bottle (DND 5) – 05-23-10 SS
Meow Mix Market Select Cat Food Cups 2.75 oz, 6/$3
     -$1/2 Meow Mix Market Cups (must register) PRINT
Morton Kosher Salt 3 lb, $1.89
Newman’s Own Cereal 12 to 16 oz, $2.99
     -$1/1 Newman’s Own Sweet Enough Cereal PRINT
Newman Own Salad Dressing 16 oz or Organic Salad Dressing 12 oz, 2/$5
     -$.50/1 Newman’s Own Salad Dressing, Pasta Sauce, or Salsa PRINT
     -$.50/1 Newman’s Own Dressing, Marinade, Pasta Sauce, Salsa, Popcorn, or Drink PRINT
Newman’s Own Salsa 16 oz, 2/$4
     -$.50/1 Newman’s Own Salad Dressing, Pasta Sauce, or Salsa PRINT
     -$.50/1 Newman’s Own Dressing, Marinade, Pasta Sauce, Salsa, Popcorn, or Drink PRINT
Newman’s Own Natural or Light Butter Microwave Popcorn 10.5 oz, 2/$4
-$.75/1 Newman’s Own Popcorn tearpad
-$.50/1 Newman’s Own Dressing, Marinade, Pasta Sauce, Salsa, Popcorn, or Drink PRINT
Orbit 3 pk 2/$4
Philly Gourmet 100% Pure Beef Homestyle Patties 32 oz, $4.99
Pirate’s Booty 4 to 6 oz, 2/$5
     -$1/2 Pirate Brands snacks, any 4 oz. or larger bags (Pirate’s Booty, Potato Flyers, Smart Puffs & Tings) – Naturally Preferred, May 2010
     -$1/2 Pirate Brands Snacks, 4 oz or larger, (Pirate’s Booty, Smart Puffs & Tings) – Nature’s Marketplace booklet
Powerade Ion4 Powerade Zero 20 oz 8 pk, 2/$10
Propel Water 24 oz/710 mL, 10/$10
Purex 2X Detergent 150 oz, $7.99
Purina ONE brand dog food 8 lb, $9.99
     -$3/1 Purina ONE, any 8lb bag (MQ states “Valid only at Petsmart” – expires 6/6)
     -$2/1 Purina one dog or cat food any size any variety home mailer
Purina ONE brand cat food 7 lb, $9.99
     -$2/1 Purina one dog or cat food any size any variety home mailer
Purina ONE wet dog food 13 oz, 5/$6
     -$1.50/1 Purina ONE Dog or Cat Food, Any Including 13 Oz. Wholesome Entrees Wet Dog Food, Any Size, Any Variety – found inside packages
     -$2/1 Purina one dog or cat food any size any variety home mailer
Purina ONE Biscuits 26 oz, 2/$4
Purina Busy Chewnola 4 oz, 2/$6
     -B1G1 Purina Busy Brand Chew Treat, 7 oz. or smaller – 03-28-10 SS – valid up to $3.99 (if included)
     -$1/1 Purina Busy Chewnola Chew Treats (4 Oz.) or Busy Chew Treats, Any – 05-02-10 SS
Rachael Ray Nutrish Dog Food 6lb, $6.99
     -$1/1 Rachael Ray Nutrish, any 6lb bag, Real Beef with Brown Rice or Real Chicken and Veggies – Rachael Ray Nutrish peelie
Renuzit Adjustables 7.5 oz, 2/$1.69
Scotties Cube 2 ply 75 ct, Regular 2 ply 132 ct or Lotion with Aloe 60 ct, $.99
     -$.30/1 Scotties Facial Tissue, Any tearpad
     -$.50/3 Scotties Facial Tissues, any (3) boxes or (1) multipack – 05-16-10 RP
     -$1/5 Scotties Facial Tissues, any (2) multipacks or (5) boxes – 05-16-10 RP
Season-All Bottle 8 oz, $1.99
Shake’N Bake 5.29-7 oz or Oven Fry 4.2 to 10 oz, $1.99
     -$.75/1 Shake’N Bake PRINT
Simply Asia 8.5 oz, 2/$6
     -$1/1 Simply Asia Product, any – peelie
smartwater 20 oz 6pk, $4.99
SoBe Lifewater 20 oz, 10/$10
     -B1G1 Sobe Lifewater, Any 20 Oz. – valid up to $1.60 – Kroger Catalina
     -B1G1 Sobe Lifewater PRINT
Sour Patch or Swedish Fish 8 oz, 4/$5
Success Rice 14 oz, 2/$4
     -$1/1 Success Rice Product peelie
SunMaid Dried Fruit 5 to 7 oz, 2/$4
Sunsweet Premium Varietal Dried Fruit 6 oz, $2.99
Taco Bell Home Originals Refried Beans 16 oz, 10/$10
     -$1/2 Taco Bell PRINT
Taco Bell Home Originals Sauce 7.5 to 8 oz or Seasoning Mix 1.25 oz, 10/$10
     -$1/3 Taco Bell Home Originals Shells, Sauces, And Seasoning Mixes, Any Combination Of (3) – All You, June 2010
     -$1/2 Taco Bell PRINT
     -$1/1 Kraft Cheese WYB (1) Taco Bell Home Originals Taco Dinner Kit, (1) Taco Bell Home Originals 12 ct. Shells Or (3) Taco Bell Home Originals Seasoning Mix Packets, Any (Limit One Coupon Per Person, Per Transaction) tearpad
Underwood Deviled Ham or Chicken Spread, 4.25 oz, 2/$3
Veggie Slices 7.3 oz, $2.89
Weight Watchers Premium Ice Cream Cups 2 pk, 6 oz, 2/$4
-$1/1 Weight Watchers Frozen Novelty, Any – Eat Healthy Your Way, Spring, 2010
Wrigley’s 5 Sugar-Free Gum 3 pk , 2/$5
Thanks to daydr3am over at SlickDeals for the scan!