I don't know that this list will have anything new for most people, but here are some of my staples:
Granola, favorite is Bernice's Bakery (Montana) or homemade imitation of Bernice's, but some more widely available ones are decent, especially if spiked with some extra raisins and nuts. Sometimes granola with Nido, sometimes granola then Nido, but lots of Nido is key to breakfast and snacks (can always add cocoa powder, too). Other high density cereal options include Grape Nuts. For a different type of cereal, less on the crunchy side (though not everyone will necessarily appreciate it cold), some of the instant cereals made for infants are decent, especially with some cinnamon and raisins.
Major calorie source is dried fruit, the more kinds the better, for variety. IMO, must include dates. Same for nuts. I mostly eat almonds and cashews, but pistachios, walnuts and others can seem like a real treat. And same for various kinds of bars. Mostly, I use Bear Valley Pemmican Bars (Carob or Fruit&Nut, skip the Lemon Chalk), but I liked the discontinued Clif Nectar bars enough I'm going to start making some similar bars at home.
Tortillas, as others said. In my experience, it's all about keeping them from drying out completely. For crackers, Stoned Wheat Thins hold up pretty well. I tend to get tired of Triscuits faster, but they're good for a change of pace.
Corn chips, preferably Trader Joe's blue corn, partially crushed so they don't take up so much volume. I could eat these almost every evening on the trail. YMMV. There are all kinds of chips out there – vegetable chips, bean chips, etc, some of which are both nutritious and tasty.
Jerky (various kinds) is good by itself and as a flavoring in other dishes. String cheese keeps well and is usually a staple for me. Other hard cheeses are great, I just tend to go for the tidy convenience of the string cheese. (I'm often in grizzly country and trying to keep smells down.)
Powdered hummus is great with crackers, great nutritionally, and if you get the right brand, tastes darn good (even at home). Olive oil to add is optional. I find it a pain to carry leak-proof on trips with extreme altitude and temperature variation, so often skip it.
Instant mashed potatoes. These rehydrate absolutely fine without cooking, and there are lots of good ways to make them into a tasty dish. My favorite is adding large amounts of grated parmesan/romano, some dried chives, and maybe some jerky pieces, but just plain potatoes mixed up with a little Nido, salt and pepper tastes darn good on the trail. Some people might like instant gravy, fake (or real) bacon bits, etc. If you don't mind all the additives, there are lots of pre-flavored varieties available.
Coconut milk can be added into a number of things. I haven't tried it yet, but I'm going to see if I can make a decent cookless soup out of coconut milk, red curry powder or similar spices, and Packit Gourmet's dried chicken that rehydrates in cool water.
Vegetables are one of the tougher things to do cookless, but veggies dehydrated into chips can be decent. I also like roasted seaweed snacks. When they get crushed into powder, they can always be added to the potatoes.
IIRC, Packit Gourmet has some wrap recipes that are cookless, and I'm sure others out there have a range of other recipe ideas.
Cheers,
Bill S.