Welcome. The 3 main other vegan proteins most people use are hemp, pea and rice. As far as amino acid profiles similar to whey, I don't actually know. But there is SunWarrior rice protein which has an amino acid profile that is something like 97% similar to human breast milk.
As far as soy, there are concerns that it contains a phyto-estrogen. Keep in mind that milk and cow meat have 2x the estrogen of soy, and it's animal estrogen. If you want a full article on soy with scientific sources cited, check out http://zenhabits.net/soy/
. Personally I don't eat soy because I don't digest it well. Robert encourages people to get their protein from a variety of sources, so hemp, pea and rice are great for that variety.
And, yeah I don't think too many people here will sweat you on the eggs.