Hmm. odd (wo)man out here, I guess (hardly the first time) but as much as I like fresh and frozen vegetables, I also like canned. Especially if I'm moody/hormonal... all that "bad" salt is yummy at times like that. Like some PPs, I grew up with canned, so it's familiar, and I agree with them that it's a totally different taste, basically a different food with (sometimes) similar nutritional properties. And, it's nice to have in the pantry for "what if the power goes out for a long, long time?" worries.
asparagus - occasionally, like once every year or two, if I'm in the right mood... you find they tend to leave too much "woody" stalk on, which is yucky
green beans - prefer frozen, but heat up canned with some diced onion and chicken bouillon (drain the canning liquid and add water) and it tastes like the ones at KFC--DH loves those-- can get the same effect with frozen/fresh, but have to boil a long time.
beets - rarely, have to be in the mood-- will ONLY eat canned, never fresh or frozen
corn - PREFER canned... baby corn, too
spinach - have been known to eat cold, from the can, using chopsticks...
tomatoes - yep. Have 7 cans in the pantry now, not including pasta sauce
carrots - I don't ever buy them, but will eat them if they're served
wax beans - no. icky. Only like these as part of a pretty blend you buy frozen.
beans of all forms: prefer to cook from dried (cheaper) but keep a few cans for short-cuts
garbanzo beans - only used for hummus, and start from dried... love them on a salad bar, though
mushrooms - DD5 obsesses over canned mushrooms, we buy by the case
olives - black for cooking, and occasionally green for snacking
artichoke hearts - Once in a very great while, the PMS monster will buy these for immediate devouring...
chili peppers / pimentos - yes, for enchiladas/ yes for chicken a la king
bamboo shoots - yes
water chestnuts - yes
hominy - isn't that just corn again? At any rate, have never bought, never tried
peas- taste totally different canned than frozen, I like both
potatoes- very different from fresh, now I want to try that "they flip over thing", will have to buy some
sweet potatoes/yams- only for the holidays, have some mashed fresh ones in the freezer downstairs.
greens (mustard, turnip, etc)- no... they can them in vinegar, and that's just nasty...
sauerkraut- have some, but I'm the only one who eats it, and have learned how to make it with fresh cabbage, so not likely to buy in the future.