As cool as Rubik’s cube is, it is a one player game. If you want to have that same puzzle solving excitement, but with 2 players, check out the Rubik’s Race Game.
It combines the strategy of the Rubik’s cube with competitive play. How fast can you match the pattern on the frame with your own colored tiles? Hopefully faster than the other guy. Just shake up the scrambler to create a new pattern, then slide your tiles as fast as you can to match that pattern. The first one to match it wins.