My favorite is one or another beef stew concoction. Can't say as I've ever used a recipe; I just toss in whatever sounds good. More often than not I seal up individual portions in several layers of foil and heat them right on the coals.
Another easy one is some kind of stir-fry. Shishkabobs are pan-free though, so I prefer them.
Stuffed baked potatos. Pre-cook, load 'em up with goodies and wrap in foil.
Since you have dry ice, you can bring ice cream for desert.

My Wife mixes up sliced apples, rasins, cinnamon, sugar and butter. She wraps it in a foil pouch, cooks on the fire 'till the apples are soft and we dump it on the ice cream.
As you can see (if an open fire is available), I don't like to do dishes on a camping trip. All of the above can be heated in a pot if you must though.