Swimming events are actually a problem. The pools are too shallow for them.

Track & field would mostly be a no-go for a number of reasons. They just aren't *built* for the long jump and broad jump. The less said about pole vaulting the better.

Shotput just doesn't work given their equine bodies. Or at least they can't do it the way normal humans do. Ditto for the hammer.

Javelin might work though.

Oh lord. Soccer, rugby and football. Especially football.

Tackling a centaur would not go well. Alas, the odds of broken legs are way high too.

Basketball is likely out as what they'd do to the floors (even with "rubber" shoes) would be appalling.

Baseball would be fun. Their strike zone is both huge and higher than normal. Dunno enough about cricket to say.