BreOl72: And if a player truly can't make any move
(I'm not into chess, so I don't know whether that is actually possible) he has to concede defeat - thus the other player wins.
No if a player cant make a move in chess, then thats a stalemate and remis.
Thats why if you're winning you have to be careful not to strip your opponent of all legal moves.
There are other rules that lead to remis, like repeating the same position, or 50 moves without a pawn move or a piece captured.
BreOl72: There ARE games with more variety...but does that make these games better?
I've forgotten the exact number, but somebody has computed that after just the first two moves - two moves by white, two moves by black - there are around 200,000 possibile positions.
Chess is far beyond computability.
So no, there is no game that is more variable than chess. Not in a way thats of any practical importance, anyway.
There is more subjective variability of course, like for example obviously if you have a roleplaying game, well you can do anything you want, especially if you play it in tabletop and not just computer games. While chess is "only" moving pieces around on a board. But as a game, chess couldnt be more variable.