I eat them raw, steam them, bake them, sauté them (in a bit of mirin--japanse cooking saki--or cooking sherry or a combo of olive oil and some other liquid).
A big mixed salad at both lunch and dinner will help up your veggie intake.
You can also add veggies to many other dishes (like throwing a handful of frozen veggies into any soup, pasta sauce or chili recipe: the other day, I made spaghetti using shredded zucchini, lightly steamed, as noodles, and adding some soaked dried mushrooms and spinach to the prepared jarred spaghetti sauce).
I went to a potluck the other day, and decided to bring potato salad, but I don't think potatoes are the best veggies, so I like to make "red and green potato salad": cook potatoes as usual (I used red potatoes, and kept the skins on), and to them, add chopped red pepper, red onion, peas (frozen, thawed by running hot water on them), and chopped spinach (LOTS of it). Then add a dressing made from mayo (I use vegannaise, a vegan mayo), mustard and some zesty italian dressing, add some salt (I use celtic sea salt) and ground pepper to taste. The salad ends up having at least as much green/red veggies as potatoes, and was a big hit.
Keep some snack-size slices or sticks of carrots, celery, jicama, red/yellow/green pepper, zucchini, cucumber on hand and dip in hummus. Make guacamole. Make an avocado sandwich, spreading mashed avocado on bread.