Edemame! Vegetable, starch, and protein all in one little yummy package. My kids eat them like popcorn!

Keep fresh, washed berries and grapes in the fridge, and a bag of frozen blueberries in the freezer. The blueberries can be eaten without thawing (my one year old with her nine teeth does fine, no choking).

You can make up a couple batches of muffins, pancakes, and/or waffles and stick them in the freezer as well. They do actually take a minute in the microwave, but they're homemade and healthy if you make them that way.

Beans galore. My little dude loves mashed black beans or chickpeas in a whole wheat tortilla with an orange for lunch. Actually, he'll eat almost anything in a tortilla or wrap, even lentil curry if I tone down the spices (add more for yourself after cooking or thin toddler curry with coconut milk).

make a big batch of homemade mac & cheese or baked ziti (with or without some sort of sausage in it)- I've always made kept big batches of meatballs in freezer too, to heat up quickly. also same ideas as before- big batches of mini muffins, pancakes, etc in freezer and whip up fruit smoothies. always have string cheese/cubed cheese around and lots of fruits and veggies.

Eggs. They cook quickly and are easy to eat. We have "super scrambles" here at the house where I'll include bits of our leftover meat from dinner the night before and a sprinkle of cheese. The add-ins allow for a lot of variety - choice of meat, cheese, and optional veggie (my toddler prefers her veggies raw and on the side). If she's lucky and I have chips in the house, we'll do super scrambles migas style. I've also wrapped our super scrambles in a tortilla. My toddler loves to "dip", so with a wrap I'll include a dollop of greek yogurt, which she considers equivalent to sour cream.

Speaking of tortillas, whisk an egg, add it to a frying pan and put the tortilla right on top. The egg cooks up onto it and you can roll it up when its finished with any filling, cheese or just as is. Very quick!
Also, maybe making a veggie dip from greek yogurt, like adding a little lemon and fresh herbs. Greek yogurt has loads of protein for your little ones - plus dipping is just so fun at that age! Also peas or lentils (which can be cooked in a big batch and frozen in ziplock baggies for quick defrost) will nestle nicely inside shell pasta - might be a messy finger food...

Fritattas. You can throw literally anything into them, then cut them into cubes. Mine likes his dipped in ketchup (bleh).

I ALWAYS have a batch of Marcella Hazan's tomato sauce on hand to throw on some whole wheat pasta. Stir in some (frozen or fresh) spinach or other veg.

As others were saying, frozen carbs. Muffins, pancakes, waffles, cookies for a special treat.

We also make our own popsicles. Puree whole fruit (with a touch of water if need be), freeze in the mold I got from the dollar store. I've also done milk with a spoonful of peanut butter.

Most meals are often just whatever leftovers we have. I've never been one too concerned with allergies and such, so I've pretty much just given him whatever I eat since the beginning.

Pasta keeps beautifully in the fridge and can be topped with tomato sauce or even butter/olive oil, parmesan and salt. A quick scrambled egg is another idea and making ahead muffins and quick breads that you can freeze and take out when needed. My daughter also loves canned beans-whether they are pureed into hummus, mashed a'la refried or just eaten as is. What I have learned in feeding my now 3 1/2 yr old daughter is that the concept of a complete meal for a toddler is very different than that for an adult. Not only do their little tummies not hold as much but they are grazers so when mealtime rolls around, may not be all that hungry. Keep a stash of washed fruit and cut up veggies that they like on a shelf they can reach in the fridge so they can grab the healthy stuff easily. Good luck and have fun!

My kid will eat almost anything with hummus on it, so I use hummus with veggies to class up a ho-hum meal. Whole wheat pita with turkey and tomatoes? No way. Whole wheat pita with turkey and tomatoes and hummus? Best thing ever!

Quesadillas - you can throw chicken, beans, avocado etc... into them

Tofu - press out the water, cut into cubes, toss with teriyaki sauce and then saute until golden brown on each side -- great toddler food

frittatas made in muffin tins -- add ham, cheese, veggies

These sound like excellent ideas for my husband!

At one they can start eating lots of what you eat, with modifications. Black beans in any form were and are a huge kid fave here--I had to leave out the spicy stuff and put a bottle of hot sauce on the table for the grown ups. Another huge fave here is risottos and other rice dishes. These are not quick, but these dishes are even better as leftovers and you can easily get a week's lunches out of a good sized batch. FRITTATAS are GREAT because they are quick to cook, and good at any temperature. Mine LOVED them with goat cheese and spinach. She will no longer touch spinach, but still loves the goat cheese. Cheddar is a kiddo fave. And mine adores sardines from the can.

Beans, homemade or straight out of a can. Eden or Trader Joes private label don't use BPA in their cans.

Cooked whole wheat pasta. De Cecco rotini and WF 360 small elbows are the best.

Cooked brown rice or quinoa in the freezer, plus extra beans.

Steel cut oats cooked and frozen. Kids eat them almost every day.

Standard lunch for our 2 and 4 year old is a quick soup with beans and a bit of sausage to which we add a bit of whole wheat pasta. Not a lot of broth. Little bit of cheese on top.

Or rice lunch which is well cooked brocolli, tofu, and brown rice.

Or quinoa lunch, with chickepeas, tomatoes, veg, and usually a some lamb burger chopped up. Husband makes big batches for the freezer. We add a little olive oil, lemon juice, and a bit of not very spicy harissa. Everyone's favorite.

Also, homemade mac and cheese sauce (bechemal based) freezes very well. Make a batch, throw it into ice cub trays and then reheat with cooked whole wheat elbows and a little milk.

Whole wheat pasta, frozen spinach, sauce with a side of some protein like beans.

Whatever you are eating, cut up into small pieces using kitchen shears. 2 year olds can eat almost anything that's not that's not a choking hazard (like a raw carrot or whole almond).

People have already named many of our standbys:

Quesadillas
Scrambled eggs
Pasta with pre-prepared sauce (frozen in cubes or in a silicone muffin tray)
Waffles or pancakes with mix-ins (pumpkin, apples, blueberries, etc)
Hummus and pita
Meatballs (make ahead, freeze)
Pasta salad

Cooked meatballs also keep well and warm up quickly.

I agree with ek76. They can eat whatever you're eating, and it will make life easier for you not having to cook special toddler food.

Our 16 month old eats whatever we eat. I just cut the meat and veggies up in smaller pieces. We are filipino and eat rice with most of our meals. When I make pasta I make sure to make enough to freeze for later. Baked chicken and steamed carrots and peas with rice is one of our go to meals.

My boy (15 months) is pretty picky (despite my offering a lot of different foods). Though tonight he took a bite of broccoli and ate the greens off the top of a strawberry so maybe we're turning a corner! I've started blending greens (kale, spinach, chard, etc) into everything. He'll eat pizza, spaghetti, and chicken - so I make pasta sauce and add greens to it and freeze it in individual baggies so he will at least get SOMETHING green even if he just eats noodles. We always do whole wheat pasta and pizza crust, and organic cheese.

I also make Kale cubes (boiled kale blended up and frozen in ice cube trays) and add them to oatmeal along with frozen blueberries. He does love oatmeal (and now toast - which I can't make healthy).