There's a lot of different type A cubes; AI, AII, AIII('old', iirc. Someone correct or confirm this), AIIIf('new', iirc), AIV, AV and I'm probably missing a few.
If you're buying it from lightake, you can find links to some of the above here.
As of right now, AV is the most popular type A cube(aka Alpha cubes sometimes).