BBall and baseball are probably the least luck-driven although weird shit does happen in baseball.

Hockey has a lot of weird stuff with injuries, penalties and having the right feel for when a shitty player has a great game in them. Our league is pretty insulated from the first two because there is so much depth that injuries mean a lot less (my other league injuries are ruinous because everybody is already owned) and PIM don't count for much.

Football is super weird though, the way they use backs now makes it tougher than say 10 years ago and of course the fact that kickers count for anything is un-American and weird.