Nick is very fond of blueberries, which is amusingly Truth in Television as the red fox is known for their fondness of blueberries, apples and plums.
Bobby in A Goofy Movie absolutely loves his "cheddar whizzy," to the point where he considers it an appropriate "fee" for his A/V expertise, will eat it straight from the aerosol can or from a massive blob in his hand, and has one with him in half the scenes he is in. The spray cheese is absent in the sequel... but he's equally eager about the "double cheesa" pizza he has at the end, and he helped his friends to immediately scarf down a big plate of nachos. Bobby really likes cheese.
The narrator in Geoff notes that the title character has a "curious and unshakable love for beans".
Woody Woodpecker: Woody loves peanut butter. To the point where Lance uses peanut butter snacks to bribe Woody into leaving his construction crew alone.
The Jungle Book: Baloo really loves many kinds of fruit, including pawpaw fruit, bananas, and grapes. He also likes eating ants at one point.
Isle of Dogs: Each of the five main dogs discuss their favorite meal.
Rex says that his favorite food is a double portion of Doggy Chop from the can mixed into a bowl of broken Puppy Snap treats with a vitamin crushed up into it. Though he does say that since his master wasn't rich, it wasn't a daily meal.
King mentions that his favorite food is center cut Kobe ribeye, seared on the bone with salt and pepper. He says that it's his birthday supper every year.
Boss's favorite food is hot sausage, yakitori style. He mentions that the snack vendor at the baseball games often saves him one on game days.
Duke says that his favorite food was green tea ice cream, adding that he probably inherited a sweet tooth from his master.
Chief denies having a favorite food, saying that he's used to leftovers and garbage. It's later revealed that back when he was a pet, his favorite food was actually homemade chili and hot dogs (which leads to him biting a child over it), and he switches to Puppy Snaps when Atari offers him one.
Chief: Hmm, salty...rich flavor...probably pretty good for my teeth. Yup, it's my new favorite food.
The Lion King: Timon and Pumbaa really love grubs, and Simba eventually joins them in eating grubs.
Brother Bear: Like grizzly bears in real-life, the bears in the movie really love salmon. The sequel has Kenai and Koda also being fond of berries and roots (which are also part of a real-life grizzly bear's diet).
Films — Live-Action
Pauly Bleeker of Juno and orange Tic-Tacs, his "only vice."
Shoot 'em Up: Mr. Smith hates a lot of things, but seems to really like carrots. This is largely part of an extended Bugs Bunny reference. It also makes sense in that he has no money to speak of, but can grow them in an abandoned greenhouse for next to nothing. He also makes a crack that they're "good for your vision," going toward his superhuman aiming skills.
Captain Barbossa is frequently shown with an apple in hand. In the first movie, he claimed the first thing he would do once his curse was lifted was eat a whole bushel of apples. After his resurrection at the end of Dead Man's Chest, he finally eats a green apple after The Reveal.
Captain Jack Sparrow loves rum. Sadly, the rum is always gone.
In Joe Versus the Volcano, the islanders are known for their love of orange soda—to the point where its cans become part of the national costume.
In the 2010 The A-Team, an angry Baracus can often be calmed by coconut curry with toast points, especially when prepared by Murdock.
In The Professional, Leon drinks nothing but milk, and is often shown going to the local store to buy more. It's part of his portrayal as a curiously innocent and childlike assassin. Part of Mathilda's training involves drinking lots of milk, which she does not care for.
In G.I. Joe: The Rise of Cobra, Duke really likes Dubble Bubble gum, and reluctantly gives his last piece to Breaker before the Paris chase scene begins. Breaker's love of the bubblegum is a carry-over from the comic character's trademark trait.
In Branded to Kill, the antihero is obsessed with rice and constantly orders it, but it's the aroma that he loves.
Donny, one of the characters in Cornered!, was nicknamed "Donny Donut" since he's almost always chowing down on them. In the end, the killer force feeds him them until he chokes.
Bubba and his "srimp" in Forrest Gump. Forrest himself loved ice cream, and was also a big fan of the soft drink Dr. Pepper. (Unfortunately, drinking too many caused him to need to make a run to the bathroom right when he met President John F. Kennedy.)
Mystery Team: "Chocolate milk just tastes better than regular milk"
Agent Sands from Once Upon a Time in Mexico loves his puerco pibil, and will order it in any restaurant that he comes to in Mexico. Sometimes he'll eat a dish of this that he considers too good, prompting him to go around back and shoot the cook. In one of the extras for the movie, the "10-Minute Cooking School," Robert Rodriguez actually lays down how to make it.
In Zodiac, the lead police officer loves animal crackers.
Karl from Sling Blade loves his "french-fried potaters."
Alex of A Clockwork Orange with his Milk Plus, which he drinks in preparation for a bit of the old Ultraviolence.
Harry Knuckles and bananas.
The Amazing Spider-Man: This incarnation of Spider-Man seems to have a fondness for chocolate milk. Gwen Stacy herself is so fond of chocolate that she once wished she could live in a chocolate house, which tips her dad off when she claims to not want to come to dessert.
Ghostbusters (1984): Twinkies are considered Egon Spengler's favorite food thanks to a scene in which he uses a Twinkie to illustrate the amount of paranormal/supernatural activity in New York City. After Harold Ramis' death, some fans left Twinkies outside the fire station used as Ghostbusters HQ for both films.
Ghostbusters (2016): Abby loves wonton soup, of which the local takeout always skimps on the number.
The Blues Brothers: Jake's four fried chickens and Elwood's dry white toast. Elwood moreso, seeing as he seems to just carry white bread around with him everywhere if the scene where he tries out a toaster he happens to come across by making himself some toast is any indication.
Marmalade for Paddington bear, just like in the books.
Kendra and peanut butter in To the Bone. It's portrayed in a much less light-hearted way than a lot of examples because of her struggles with binge eating.
The Jungle Book (2016) has Baloo hankering for some honey, so much so that he tricks Mowgli into climbing a cliff to get him some. He and Mowgli even stack a lot of honeycombs into Baloo's cave for the bear to eat before "hibernation".