They aren't all vegan, but Duncan Hines actually has a good list https://www.duncanhines.com/baking-inspiration/no-eggs-15-egg-selent-substitutes-your-favorite-baking-recipes referenced by several other sites that (also) don't appear to be slopfests.
I have chia and flax around and I wanted to add applesauce anyway. Substituting each of those for one egg will increase prep time a lot, but will hopefully give me a quick, simple, great, vegan cake