Tekken or another fighting game will teach you to be very precise with the left stick because to do a lot of the special moves requires you to rotate the stick "just enough", the right stick doesn't get used though. I don't play sports games but my understanding was that they're mainly-left stick focused too. If you want to train yourself to be ambidextrous with both sticks then your best bet is probably a first person shooter or third person action shooter/slasher game because you'll use the left stick to move and the right stick to aim. I don't think it really matters which game you pick,
Also, this isn't entirely on topic but Alien Isolation was one of the better games to use with a controller. It made full use of the rumblepack and the pressure sensitive analog movement as part of the gameplay and that's kind of a rarity for pc games.
Edited by Serrano, 11 March 2019 - 03:50 PM.