So many things you can do.
Personally I am not a big fan of cooked carrots unless they're in a soup or casserole, but some people really like them. That said ... here are some ideas.
Most veg can be roasted in the oven - toss them with some olive oil, salt and pepper, and whatever spices you want, spread them out on a baking sheet, and bake them in a 400 oven for 20 mins - or even longer. Sometimes I like to cook mine until they're a few steps away from burnt - I like the crunchy bits. Broccoli does this really well in fact. And I love roasted cauliflower. Mmmm.
Or in a large non-stick skillet, put a little olive oil and a tiny bit of butter (for flavor) bring it up until it's sizzling. Throw in a little bit of chopped garlic, give it a quick stir, then throw in your veg. Stir them around and keep them moving for about 10 mins then eat as soon as possible. They'll be lightly cooked, but still crisp. When you take them off the heat, squeeze a little fresh lemon juice on them to brighten up the flavor.
Of course you can make a soup - I do this with bags of frozen veg a lot. Start with stock or water or whatever - add in your veg of choice (I like the mixed bag of veg with carrots, peas, corn, and so forth), and bring to a low simmer. Add in some diced potato and right before it's done, add in a can of chicken breast meat. It's a good, rich chicken veg soup. You can also add in a 1/4 cup of brown rice or some pasta instead of the potato for a chicken and rice or chicken noodle with veg.
Oh another thing I love to do with cauliflower, especially the frozen kind: cook it in the microwave or steam it until it's falling apart tender. Then mash it up with some skim or low fat milk, or low fat sour cream, salt and pepper, and sprinkle it with low-fat cheese. Basically treat it like mashed potatoes - and put whatever you want on it. I love this in the winter.
If you do like cooked carrots, take your carrots and microwave them until they're slightly tender (but not all the way). Then in a non-stick skillet, put about 1tsp of butter (or butter substitute) and 1tbsp of honey. Set the heat to medium and just toss the carrots in the honey mix until they're glazed and hot. Maybe 5 mins, tossing or stirring constantly. You can add a 1/2 tsp of cinnamon or a 1/2 tsp of ginger to spice them up.
Ok, I'm outta here for now - gotta go meet someone. But I'll come back and post more ideas and a few real recipes rather than the "thrown together" stuff.