Frittata and quiche won't work with no-egg. It's a bit sad. What you can do instead though, is make a really sloppy polenta - 1 part polenta to 5 parts water (or vegie stock) pour that over your frittata ingredients and bake. Nice hot, AWESOME cold, especially with salad. It might satisfy your craving.

No-egg is pretty good for fritters. Also a good option is using psyllium husk, let it sit for a while, and it will gloop up and make stuff stick together nicely.