I've never been a big vegetable eater, either, but I've acclimatized to it. Like others said, you need more variety in terms of your vegetables. Also, rather than think of vegetables as a bland side or a salad, bury them in stews, casseroles, and omelets. Some of my favorites are lasagna with zucchini strips instead of pasta sheets; omelets with some combination of spinach, mushrooms, onions, tomatoes, and cheese; peppers stuffed with meat and topped with some sour cream; and roasted eggplants topped with a lamb or ground beef/pork stew.
Also, I try to buy vegetables primarily from the farmers' market - it's more expensive, but they are generally much more attractive, packaged in a tempting manner (e.g. multicolored baby beets or baby eggplants that look almost like candy) and taste better. I can also ask the seller how they cook that particular vegetable at home, which can sometimes give you some new ideas. Plus because of the price and the association with specific vendors who I feel like I have a relationship with, I'm a lot less likely to just let the vegetables go to waste and rot away in my crisper, so in the end, it's not really more expensive considering I waste less.
I also try to buy a new vegetable on a regular basis. I've recently tried rutabaga and kohlrabi - not too keen on the first one, but the second one will definitely become a staple. Also, try ethnic markets - you'll find all kinds of vegetables and greens you are not familiar with, you could probably easily try a new vegetable every few weeks for a year.