I second Chinese cooking. It’s very easy to like and generally not overcooked. I usually get something like broccoli with garlic sauce, which overcomes the bitter taste of broccoli (though I like that too) with a sweet, spicy sauce. Some mixed vegetable dishes can be OK, but most inexpensive Chinese has too much of that dreadful canned bamboo.
If you’re really needed frozen vegetables, try a different mix. I prefer the vegetable blends (especially the Archer Farms ones from Target) that have a lot of different vegetables including things that add more flavor like onions. They have steam-in-bag ones for the microwave. I use margarine spray with that for a quick dinner along with some gardenburgers or something. Mushy perhaps, but not bland.
Also, I don’t see salads being a lot more work. You can get pre-bagged ones; verge away from iceberg, which isn’t very nutritious, to romaine, spinach, and mixed green salads. You can even get some salad blends that have just a little bit of broccoli or other vegetables mixed in. Just remember to not get a fatty dressing (Newman’s Own has some nice lowfat dressings).
On the raw vegetables side, I love sugar snap peas. I bought a 3 pound bag and ate them all this week sitting at my desk at work. You can eat them plain, or they work really well with the Newman’s Own low-fat sesame dressing. They’re not bitter, which is a plus if you dislike broccoli and brussels sprouts.
On the more complicated side, I like things like butternut squash soup, stews made with acorn squash, garbanzo beans, and Moroccan spices, or Indian okra curries.
Don’t try to force yourself to eat something you hate. Try to find other vegetables or other preparations. Once you acclimate to, say, okra and sugar snap peas, it’ll be easier to get in with veggies in general. You may always have some that you dislike, but I found that after abandoning brussels sprouts for many years as inedible, I tried them once on a whim and found I suddenly liked them. Your tastes do change over time, but don’t force yourself to make bad associations.