What kind of veggies do your kids eat...

Potatoes, in any way. Roasted, mashed, baked, twice and fried are huge at our house.

Carrots, raw only. I make really good roasted carrots with honey but they don't like those.

Cauliflower, again, raw only.

Green beans, just about any way but raw.

Corn, cob or off.

My oldest loves lettuce but my younger son won't touch it.

Cucumbers, raw obviously.

Green beans -- roasted or cooked in chicken broth in a pot on the stove

Broccoli -- steamed

Corn -- on or off cob

Sweet potatoes -- baked

Peas -- cook frozen ones in microwave

My DD will eat salad -- lettuce, carrots, tomatoes, cucumbers, etc.

I know there are others but I can't think of them right now.

my kids love peapods and green beans RAW - in dip, of course.

Asparagus in a light cheese sauce (or even just sauteed with salt/pepper/olive oil) and sometimes they'll dip them anyways. Dip is a huge veggie crutch around here, but I'm okay with it.

They both like any kind of 'slaw' - I sometimes just buy the slaw mix and add it to their salads. They like cucumbers....they like Edamame with salt. They like cauliflower and brocolli steamed with salt or raw with dip.

I also put a lot of veggies IN things, like homemade chili - red peppers, green peppers, onions, italian shephards pie - zuchinni, red pepper, eggplant, etc. Sometimes I'll put a puree of a veggie like eggplant into spagetti sauce. (or cauliflower into mac n cheese). They'll eat artichokes IN things as well. They HATE tomatos

They'll eat ANY veggie when mixed into mac n cheese.

Carrots - they like raw in dip or else steamed and in an apricot glaze (fancy for add a dollop of apricot preserves after they're done and mix)

Everyone likes sweet potato fries and breakfast potatos (red potatos baked or fried) - but that's the ONLY potatos I can get them to eat!

I always say - DON'T give up! We've been working on asparagus for a YEAR now, probably made it over a dozen times and my eldest finally (for the first time) saw it at the grocery store last week and said "Oooooh, Mom, this asparagus looks good to me, can we get it?" (insert patting on the back here, right? ) It took a long LONG time!

DS1 likes raw carrots, broccoli, cucumbers, sugar snap peas, celery, tomatoes, salad greens and a few other things. He also loves potatoes in any form, and really, really loves sweet potatoes. That's about it, but I'm hoping he'll enjoy a wider variety again when he's older. He dropped a lot of veggies around puberty.

DD likes raw carrots, broccoli, cucumbers, bell peppers, celery and tomatoes. She also likes cooked green beans, asparagus and brussel sprouts, and doesn't mind spinach. I just boil all of those and add a bit of butter once they're cooked. She doesn't care for potatoes.

DS2 is a bit pickier, but the ones he loves, he loves. Top of the list...tomatoes, salad greens (he inhales those), sugar snap peas, and mixed bean sprouts. He also likes potatoes in most forms.

ETA: I know they've eaten a bunch of others, but I can't really remember what's been a hit, and what hasn't. The above are things we eat on a regular basis...gave up on cauliflower, because only one of them (can't remember which - maybe dd?) liked it, and we never finished a whole head.

Carrots-raw, or cut small and mixed in with other veggies

Broccoli, green beans, mixed veg--steamed and mixed with a little butter and garlic.

Peas-frozen or steamed

Spinach-only when I "hide" it in stuff like spaghetti sauce

Sweet potatoes-baked or mashed with butter and garlic.

Salad-as long as there's Italian dressing on it.

We gave up with 'kid-friendly'. Basically, if it sounds good, we cook it. Tonight was
-salad (dark greens, almonds, carrots, dates, raisins, cherry tomatoes, onions with a sweet vinegrette)
-couscous with peas and carrots mixed in
-mango chicken piccata
-orange jasmine iced tea

Since its getting to be summer we're making a lot more greek salads, veggie filled pitas, kabobs on the grill, marinated zucchini/pepper toppings...we go to the organic farmer on Saturdays and let the kid pick out what looks good.

I'm not sure if it's all kid friendly, but if its in front of them enough they will try it eventually. Until then, that means more leftovers in the fridge for me!

I have picky eaters, but both are getting a LOT better about at least trying it. Both eat corn, peas, cooked carrots, and squash (zucchini and yellow) if I make calabacitas con pollo or tomato sauce if on pasta. DD will also eat broccoli (steamed) or a little bit of sweet potato if made as oven baked fries. DS will at least try one bite and then not want more, lol, but at least he has finally gotten to where he will do that!

tomatoes- as soup, as an addition to soup, and of course, fresh

cucumbers in season

onion, leeks, etc.

potatoes in every known form (roasted is my favorite)

beets- either as a hash brown, in soup, or boiled and tossed with vinegar and salt

parsnips- roasted (no one likes them in soup)

celeriac (as a seasoning or as a soup)

bell peppers that are not green

asparagus in season

peas

corn (only fresh, so in season)

greens either as a salad or kind of stir fried

salad greens (fresh )

carrots, raw, boiled, stir fried, mashed

cabbage (we love the cabbage!)

And, I second the recommendation of fat. It helps flavor and digestibility.

My 3yo eats:

Raw carrots and raw bell pepper strips.

Broccoli, raw or steamed.

'Popcorn' cauliflower: tossed with a bit of olive oil, salt and pepper and roasted.

Tomatoes

Baby Spinach sometimes because it looks like leaves that dinosaurs would eat.

I've had a tiny bit of luck occasionally mixing new veggies with steamed broccoli, but that only works sometimes.

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We do this, too. Ds loves okra prepared this way.

Standards are okra, greens (collards, mustard, turnip, kale), broccoli, green beans, beets, tomatoes, corn, cabbage (red and green), cucumbers, potatoes. Those always get eaten.

Things that get eat sometimes, or only by one child:

eggplant (olive oil/roasted), mushrooms, spinach (always eaten if on pizza, in pasta, or in eggs/quiche), salad greens, summer squash.

I use carrots, garlic, ginger, onions, celery in lots of dishes, too, but they aren't generally served on their own. Dd went through a stage of loving "milky onion", where I would saute an onion until it was soft and sweet, and then add some flour and milk and cook until creamy and thick. Yum!