For egg replacement in baked goods, here's what I usually keep in mind:
If the batter needs to be thick, then mashed ripe bananas usually do the trick better.
Thinner batter? unsweetened applesauce.
So, for pancake batter, french toast, etc., applesauce
For muffins, loaves, etc., I'd go with bananas
As far as breakfast ideas, I actually love salad for breakfast. If you want fruit, strawberries, raisins, and grapes are always good salad toppers.
Find different grains and you'll have a plethora of breakfast options. I love oats but am keen on quinoa and couscous (regular not Israeli) for breakfast. They soak up anything you want to put in them. Favorites? Apple butter, crushed fruit, even savory things like roasted mushrooms, leeks, and spinach.
Also, if you miss eggs, extra-firm tofu can be scrambled with salt, pepper, and vegetables for an eggless scramble. I like to mix cumin, salt, pepper, thyme, and about 3-4 tablespoons of water in a cup. Then I sautee some crushed garlic, onions, and veggies in a pan with some olive oil. Break the pack of tofu (I use 2 packs) into the pan and flip it all around until browned. Don't worry about being precise, just get the water out of the tofu. Add your spices, mix it in and voila, tofu scramble.
Have you tried nutritional yeast by the way? I"m not sure of your restrictions, but if you are restricting dairy, you must make friends with nutritional yeast
Cheers!