Frozen broccoli is fine for stir fry or steamed with butter. The only other frozen veg I tolerate are peas (green, snow, snap).
Canned, obviously tomatoes for sauces and stews, but out the can as a side dish only corn and green beans.
Other than specialty items that jarring adds a distinctive flavor through the preservation process like olives, artichokes, and mushrooms, pretty much everything else must be fresh. I can't stand canned/frozen potatoes, carrots, onions (that I didn't hand prep). That anyone would ever buy let alone prepare and consume picrel is baffling to me