When I was a kid we had a small dog that loved spaghetti with tomato sauce. He was our Witness dog that would sit near the table and wait until after the prayer to start begging for food.
The two cats I had for 12 years loved some really odd things. I was peeling corn on the cob tonight and missed having them pester me for raw corn niblets. They both could hear the first rip of the husk and no matter where they were in the house you could hear them coming. Once in the kitchen with me they would circle and cry for corn. But after the corn was cooked they couldn't be bothered. They both loved cantaloupe and honeydew melons. They loved tuna and sardines but hated salmon
One of these cats would try anything. I think the only thing he refused to eat was onions. This cat also loved non-food items - elastics and balloons. He would "kill" the balloon or elastic and then carry it to his food bowl and leave it there. He also loved the ribbon that ties balloons together. He would chew on that until he would gag. I had to pull it out and be so careful to not have it in the house. Oh and this was the cat that knew how to jump on the counter, open the cupboard door and move the cans in front of his catnip. Then he would paw it out and get it down to the floor. The only thing he couldn't figure out was how to open the container. He was such a suckie cat. He would sit beside me on the sofa and roll his head on my arm and stare up at me with this pathetic "I'm starving so please give me some" look. Truly pathetic.
I was even able to teach him some tricks. "Sit pretty" and he would stand on his hind legs and walk. I used to buy these cat threats called Luves that looked like tablets. I would hold it with the very edge of my mouth and he would stand on his hind legs to gently take it from me. It wasn't hard to teach him to take it. It was hard to teach him to do it gently. The image of the elephant in the china shop comes to mind when I think of his personality. Other times I would hold a treat up and ask him to sit pretty. He would do it but then realize my hand was too high so he would jump and swat at and grab my hand to bring it down so he could get his treat.
The other one loved green bananas and peeled grapes. Yes my husband would peel the grapes for him. And I had to hold the banana for him because he didn't want it once it touched the floor. As a cat he was way to dignified to beg for treats. After years of trying to get him to take food from my hand I finally got him to do it. But if the challenge was more than he could bother with he would just walk away and let the other cat eat everything.
So what do your pets like?