pedestrian: Yes, i think your suggestion is a good help for this problem. In this moment, there're not much search options and if we're trying to select a specific game type to play a tournament, we find many tournaments, because most of them include all games.

Why not someting like that: select a specific game type and then appear the information (about this specific game type only) with the number minimum of players request to start that tournament.

Example: I select "anti chess" game and we have:
Tournament A - 2/5 (there're 2 players and we need 5 to start)
Tournament B - 4/8 (there're 4 players and we need 8 to start)
Tournament C - 14/16 (there're 14 players and we need 16 to start)