I'm going to steal the ones from Terrible Writing Advice's Dungeon Master Guide.

The Role Player: Player focused on role-playing their character

The Power Gamer: Player more focused on the game parts and less on story

The Joker: Player focused on jokes

The Rules Lawyer: -_-

The Edgelord: Super edgy player, may become a murderhobo

The Hentai Guy: Average 4channer

The Non Player: They're just there

The Snowflake: Player focused on being special

The Drama Queen: Player that brings irl problems into the game

That Guy: Advanced 4channer