Two Featured Game Mode Ideas: Banhammer and Permadeath
Banhammer: standard draft pick game except for the ban phase. Each player in the game may ban two champions. It is likely that this would obliterate the meta as any concerted effort by your team could outright eliminate roles from the game.
Permadeath: respawns are disabled. Upon dying, a player's "energy" is dumped into the remaining players, increasing their damage dealt and reducing damage received, so if one person on a team dies, everyone else on that team's damage output and resistance increases by 25% for instance. When a player dies, they may continue to spectate or may go on to another game.