This is a list of game mechanics which are not necessarily bad, and which other people may like, but which I personally dislike.
I loathe the diplomacy game mechanic, where agreements between players rather than gameplay determines who will lose the game. The classic example is the 3 player game where 2 players agree to team up to destroy the third player before turning on each other to decide the winner.
I loathe the outguess game mechanic, exemplified by rock paper scissors, where each player's best action depends primarily on guessing what the other player’s action will be.
I don't care for the memory game mechanic, exemplified by concentration or gin, where it is important to remember which cards were played previously.
I don't like highly relative games, like chess, where each move has no independent meaning beyond what the future moves of each player will be. I much prefer games where you are performing clearly beneficial actions like building up a town or moving through a race or damaging another player, and the element of skill is in choosing the best move to make.
Similarly, I don’t really like games where it isn’t really clear whether a given move is good for you or bad for you without performing a deep analysis of both players’ future moves.
I don't like games where is futile to gain the lead because the other players will simply attack the leader until he is brought down to the level of the other players. On the other hand, I like games where the losing players can act to slow down the winning player and prevent him from snowballing into inevitable victory. There is no clear dividing line between these concepts, it is a matter of precisely how well things are balanced.
I don’t like “time-based” games where the first player to shout out what they are doing has the advantage. I like taking turns better. A corollary is that I’m not super-fond of the mechanic where it is beneficial for two players to trade with each other, and it is arbitary who trades with who, so the first player to agree to a trade wins out. But I guess I don’t really mind too much, it just isn’t my favorite mechanic.