For me, this question is mostly about the NBA. I don't follow MLB that closely anymore but Latin and Asian players could be considered. In the NBA, I like many of the American born players but am turned off by quite a few also. Over the past few years, I find myself rooting for most of the international players such as Dirk, Nash, the Gasol brothers (although not Pao as much with the Lakers), Rubio, Dragic, Ibaka, Ginobli, Scola, etc. There are only a few that I've never liked. One of them was Tony Parker but even he has somewhat won me over after last year's playoff run.