When was the last time you tried the foods you don't like? How did you have them prepared? There are a lot of really awful ways to prepare beans and broccoli and peas and squash!! Canned peas and boiled broccoli come to mind offhand... also a bad squash is absolutely disgusting!! But there are also tons and tons of ways to prepare them, so I would recommend keeping an open mind and just trying different things, maybe one ingredient you're wary of in a dish full of foods you know you like so worse comes to worse, you can pick around it. Have you tried lentils? They work well in place of ground meat, and legumes in general are supposed to be really great at helping to stabilize blood sugar.
When I met my bf there was a laundry list of vegetables he didn't like. As it turned out, he does actually like almost all of them (still can't win on mushrooms or tomatoes-in-pieces), but his mom is an awful cook and didn't know how to prepare them well, so once they were prepared well, he wolfed them down!! Kale is now one of his favorites, and he also loves collards.
In the peas department, have you tried snow peas or snap peas? The kind where you eat the shell. They're a little sweet and nice and crunchy (you want to just barely cook them until they're bright but still crisp, or eat them raw). How do you like root veggies? Sweet potatoes, parsnips, carrots, turnips, radishes, and jicama are all options there (as well as the humble white potato -- eat the skin to get the most vitamins and fiber out of it). When you say squash, do you mean summer or winter? Winter squash, like acorn, butternut, pumpkin, delicata, spaghetti, are all nice roasted and are pretty cheap this time of year! If you like greens, but not broccoli proper, try broccoli rabe (bitter relative to broccoli) or broccolini (mostly thin stems with a few florets on top). Try something new every week at the grocery store! You never know what you might like!