I can't stand 16:9 either. If you Google "android retina tablet" you can find a lot of Chinese tablets with a 4:3 screen and iPad resolution (2048x1536).
There seem to be three general models:
RK3066 dual core
Allwinner A31 quad core
RK3188 quad core
I have one of the latter, which is the newest and probably is the best model, though I don't actually have any of the others to compare. All of them are slower than iPads. The specific brand I have is an Aoson M33 but I can't imagine there would be much difference between similar ones.
I generally use my tablet for reading books and comics, which need the resolution. I've also watched videos up to 720p. I don't play Android games so I can't tell you how they respond on that (but it supposedly depends a lot on firmware).