Chess/Go/Checkers are one category of game where luck plays no part, but not the only one. The thing they all have in common are 2 players and perfect information.

Then there are games like Stratego, which have no 'luck' but require you to make decisions based on imperfect information.

And games like Diplomacy, with no random element but a social dynamic. I'd assert that this game has no 'luck', but someone else up thread defines luck a bit differently and says that it does. :)