Tomatoes (and before anybody goes "That's a fruit!" I'll let you know right now that they technically qualify as both). They're one of my favorite things to eat.
I like just about any cooked vegetable, with a few exceptions (Brussels sprouts, asparagus, and cauliflower come to mind - bleh!). If I had to pick a few other favorites, I'd say potatoes, broccoli and corn are near the top of the list.