I "
can"(eeewww - how punny

) see where your aversion to veggies comes from...whenever we were served asparagus when I was growing up, my mother cooked
canned asparagus for 10 full minutes - eeeyuck! However, at the "tender" age of 45, I discovered the wonders of grilling veggies. Grilling fresh 'sparagus (after tossing with olive oil, S&P, and garlic powder) until barely tender and hot turns it into a totally different veg. It's also a great way to cook sweet red pepper (green is too bitter, IMHO), zucchini, yellow squash. Just remember - hot and barely tender (a bit of crunch left in the center)- don't overcook. Additional seasonings can be added after cooking (lemon juice, additional pepper, whatever).
Fresh snow peas, fresh sugarsnap peas, grape tomatoes, baby carrots - all very mild and sweet, and easy, 'cause you eat them raw. Ease into it by using fatfree salad dressing as dip.
Sweet potatoes are great, too - Slice 1/2" slices, lay on a lightly greased baking sheet - spray with olive oil spray, season any way you'd like -
sweet-n-spicy:cinnamon and a bit of ground cloves;
zingy: a light sprinkling of chili powder, onion powder, a wee bit of salt. Bake at 375 degrees until edges start to brown(watch the bottoms - with the natural sugars, they'll scorch if you forget).
Try other types of lettuces - the grocery stores carry some great and colorful mixes that are a terrific way to try out new ones.
Do you like pickles? A simple vegetable is the cucumber - mild flavor, and if you do like pickles, you can make your own - thinly sliced, sprinkle on a bit of your preferred vinegar, a few green onion slices, and (if your diet permits) a scant bit of salt - toss together, refridgerate for a little bit to chill - crunchy.
While it is new territory for you, remember, there are yummy options out there - just gotta keep trying until you find the ones that work for you!