These days just rollerblading, badminton and table tennis, which I love. I used to play soccer and hockey several years ago. If e-sports count, I played a tiny bit of competitive Counter Strike a few years back, and until recently Call of Duty competitively.
Generally, ball refers to baseball, and bball refers to basketball. Not always, but the great majority of the time that's the case. I'm not even American and I know that.