I hate ranch dressing also, and that definitely puts us in the minority! Try other dressings on salad, balsamic vinegar & olive oil, cider vinegar & olive oil. Annie's Goddess dressing.
If you like green beans & peas, you might like zucchini, yellow crookneck squash, snow peas, edamame.
Try slicing zucchini or crookneck into strips about the size of greenbeans and cook them to the same softness. Look for shelled edamame in the freezer section. You can heat them, or put a 1/3 cup frozen into a couple of cups of water, thaw them, then eat them cold as a snack.
Buy a couple of different frozen mixed vegetable combinations. They all seem to be loaded with carrots, so you'll have something you like. It gives you a chance to try some of the other vegetables in small quantities.
If you haven't roasted vegetables before give it a try! Roasted vegetables are awesome! Here's
one thread at 3FC about them, you can search and find many more.
Any vegetable you like cooked, can also be eaten cook, leftover and cold. Think of the green beans in a nicoise salad, peas in a minted pea or pasta salad, corn in a mexican salad (kidney beans, green beans, black beans, corn, cilantro, oil & vinegar), carrot & raisin salad.
It's great that you want to expand the vegetables you like. Just keep trying vegetables different ways and I'm sure you'll find vegetables you love. Recognize that peas are legumes, corn is a grain and carrots are a root vegetable. By expanding you likes to include even a few more vegetables like beans you're really giving yourself some more great choices.