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We have a chihuahua named Judy but since she is rather portly and will eat absolutely anything (including carrots and broccoli), we call her Foodie.

Sure, I know of some
Though I may have advantage being on several pet message boards so I see more than the average of names.
Chocolate lab named Guinness.
Cats named Coffee and Cream (littermates) also a Beans and Rice bro and sis.
Spud
Margarita
Sushi (which I think is precious for a kitty!)
A couple of Muffins and Biscuits (cat and dog)
Cheeto
Peanut
Pumpkin
Rollo (after the candy)
Pickles
Olive
There are more, but this is all I can remember. I think foodie names are cute, they just have yet to fit my pets so far.
I am sure there could be/are some really creative names possible/out there.

My mom had a dachshund named Tootsie, because it "dispensed" Tootsie Roll lookalikes.

And when ti first came into the house, my sister wanted to call it Burrito because that's how it felt when you held it (same size, warm and lumpy).

Oh we had a dog Muffin when I was a kid, and Kit-Kat was the name of our guess-what.

My cat is named sushi
my dog is named pickles

Oh god, this is hilarious. No, the turkeys were never eaten--I think it was a way to make sure they behaved themselves.

I just remembered we used to have a neighbor with a miniature chihuaua named French Fry.

I used to have a Basset/Beagle mix named Bagel. She like to eat...constantly.

Oh! I just remembered some more:

Tuxedo cat named Oreo

Two Corgies named Hoover and Kirby...yeah, I know those are vacuums, but how do you think they got those names?

I have a daschund-beagle mix named Noodle (short for Chicken Noodle). He answers to "Chicken," "Chicky," and "Noodle." Then there's the Jack Russell named Olive. And the cat named Bean, and his mother Crabby. The remaining two cats don't have food names. They're Nermal and Toad.

My brother and his wife have a dog named "Bacon." She wanted a dog, and he agreed on the condition that he got to name it. He loves bacon.

Not mine, but I knew a chocolate lab named Hershey.

I've often teased that I should have named our two dogs "soap" and "water" just so I could use the joke that our dishes are as clean as soap and water can get them.

Well, as I've mentioned before, I have two dachshunds - also known as sausage dogs, wiener dogs or hot dogs - so we've got enough food connotation even before we get to the names! The older one's name is Frankie Wiener (of course, we just call him Frankie, for the most part), he's got a gazillion of nicknames, one of them is Frankfurter. The little one is so tiny, we sometimes call her little Cocktail Sausage. For a while there, my OH entertained an idea of naming her Beans -- Beanie -- only so that he could call the two of them "Franks & Beans".

An acquaintance has a chocolate & tan dachshund named Hershey. Another friend's dachshund is named Frito. My neighbour's black lab's name is Angus. I'm sure I know of more...

I know a brindled calico cat named Nutmeg and another called Cone because he was found as a kitten licking up a dropped ice cream.

And my granddaughter has a guinea pig named Milkshake. I think when she named him she was really thinking of a sundae because he is chocolate brown on his head, sort of peanut tan around his shoulders and then white (vanilla ice cream?) on his rump. He does look like a sundae when she holds him upright in her hands.

When I was little we had sheep. My father called one ewe Butterball. Her wool was more ivory colored than the others. She was large and in charge and produced big twin lambs each year.

My ferret is named Mochi.

My friend's cats were named Parsley and Salad.

i knew a duck named DD, short for "destined for dinner".

i once knew a cat named mustard and another one named pickle. also a cat named sirloin because he was found abandoned near a steak house. he lived with a dog named coal, so i called them the barbeque brothers.

I have a cat named Bart. My sister doesn't like his name so she is permitted to call him Orange. We mess with his vocab understanding and orange = good (he is orange colored and he likes to eat oranges) and purple = not good.

"Gow" means dog in Chinese. My cousins had a dog they named Ha Gow, which is a shrimp dumpling. It was hilarious to see this huge, rambling dog named after a small, delicate dim sum morsel.

My nephew named his dachshund Oscar (Meyer).

I named my virtual pet pig Char Shiu.

I can't believe I just admitted that I have a virtual pet pig.

My dog growing up was named Taffy. She ate cherries thrown from our huge tree as they were tossed off the roof.

We have a golden retriever named Ellie. Ellie Bean (play on jelly bean) is one of her nick names. But often enough she goes by "The Bean." And wheww, sometimes you would think she had sat down to a whole plate of beans.

Virtual [game] pets...

My husband has named his in-game pets after food as well:
WoW: His hunter had a pig pet named Tonkatsu
SWG: Cashew and Pistachio were sledge panthers that my husband hunted with as well

My neighbor had a little football, err toy dog, named Giz. It was short for gizzard (not Gizmo).

I named my big white fluffy Akita after the fluffy white dumpling, Gnocchi. Though through the years...it has evolved to Noki.

I have a friend with a dog named Habichuela, which is a kind of bean. (The dog does look like a bean).

A corgi named "Dim Sum".

I had a Torti kitty named Pesto. My #1 Doggie Mickey is a little on the chubby side, so we just call him Sausage.

A neighbor had a dark brown dog named Cocoa and a butter colored dog named Taffy.

I had a white rabbit named snowball. Not food, but if you add some syrup... Also, remember those pink snowballs (marshmallow tinted pink) with chocolate cake interior. I think it also had a cream inside that? I forget the name. Probably snowball?

My first cat was named Potatoe. It's a very long story.

My cat's name is Cider ...I'm thinking my next cat should be Ale to match

My Aunt and Uncle had a dog Muffin when I was growing up.

My first roommate had a cat that I dubbed Mocha for it's dark color but since there was white swirled through her I called her Mocha Latte.

When I was 20 I found a litter of kittens behind a dumpster at my work. I felt awful for them but they weren't friendly, except for one. She was so sweet. I couldn't leave her there. I took her to my (at that time) bf's house. I called her Butterscotch since she was that beautiful color with a little white throughout and she was so sweet. :)

My cat's name is Oaxaca, but she is named for the place, not for the cheese.

We have 3 cats right now. Salt, Pepper, (betcha can't guess what color they are ;-}) and Suzy, who has been called Sushi on occasion. Amazing the result when the kids are the ones naming the animals, right?

@Perky, I know what you mean about food nicknames for kids, too since my nickname as a child was Punkin and my daughter's is now Meatball. Crazy, right?

@Perky~I remember THAT, now that you brought it up! Because he was "dead from the shoulders up."

My gal's has more to do with crazy behavior and her somewhat cuddly shape(she does not know that and I would never tell her). And your right, honey, sweetie pie, sugar, cookie are all pretty usual as endearments.

The Hubs even calls me Waffle sometimes. It came from an old nightgown I had that had a waffleweave material.

my friend had sheep growing up and they were all named after herbs & spices. i recall:

-salt
-pepper
-rosemary
-savory
-cinnamon
-nutmeg

@perkymack I thought Archie called him Meathead?

Memory is the first thing to go? Meathead is correct pj. Sheesh. btw: Got a kick out of how your parents use Shasta.