I grew up eating canned veggies and fruits, except for things like onions, potatoes, salad items, and bananas, oranges, grapes, and apples. When I got married, I discovered my MIL used frozen veggies a lot, and I found they tasted so much better than the canned stuff. I also got brave and started cooking with more fresh produce, and living in Amish country, I get all kinds of fresh goodies in season.
Fresh: broccoli, cauliflower, cabbage, carrots, corn, green beans, salad items, peaches, pineapple, berries, potatoes, mushrooms, and probably some other things I’m forgetting
Frozen: peas, corn, brussels sprouts, some potato items, broccoli and cauliflower if the fresh doesn’t look good, mixed veggies, peas-n-carrots, green beans
Canned: red beets, tomato sauce/paste, chopped tomatoes, pumpkin (for pies) and peaches, pears, and pineapple.
The only problem I have is a relatively small freezer and a very large pantry, so one is crammed and the other, not to much. Still, I’d rather shop more frequently than have a pantry full of canned veggies.