I don't cook my noodles, either. I just layer noodles, sauce, ricotta mixed with an egg, and cheese until I'm done, then put on a final layer of cheese. Sometimes I throw various veggies in with my sauce: grated & drained zucchini, spinach, bell peppers.
Ricotta spreads easiest on top of noodles. I do just 1 layer so it's a thick layer.
I recently made a polenta lasagna where I used layers of polenta instead of noodles. YUMMY!!
I made Mexican "lasagna" sometimes, using Tex-Mex ingredients and tortillas as the layer separaters. Think ground meat, chopped chicken, salsa, black beans, corn, tomatillos,rice, cheese, refried beans... anything!
These types of layered dishes are great ways to get rid of leftovers. I typically make up 2 at a time and throw one in the freezer.