Ok, For examples, how about these....
"I do not want to play in any game where PvP (Player vs. Player) is happening." (When PvP is a common option in many games.)
"I only want to play with responsible and considerate people who will provide notice to the others in advance when they can't attend or will be late."
"I'm looking to play this specific older game that is no longer in print."
Keep in mind that these are just examples. Some may find them to be common in their experience, but that won't be the case for everyone.
How's that?