They are all game genre.
Massively Multiplayer Online Role-Playing Game (MMORPG) 大型多人在线角色扮演游戏。From dictionary, it means any story-driven online video game in which a player, taking on the persona of character in a vitual or fantasy world, interacts with a large number of other players.
Action role-playing game (ARPG, 动作角色扮演游戏), is a subgenre of video games that combines core elements from both the action game and role-playing genre.
Simulation game (SLG, or SIM , 模拟游戏)
SLG为回合制策略游戏(TBS, Turn-Based Strategy) 的代称,由于早期SLG(Simulation Game)模拟游戏,多是模拟战争的战棋类游戏,而战棋类大多有回合制与策略性的特点,所以现在往往用SLG代称回合制策略游戏。
Roguelike (or rogue-like) is a subgenre of role-playing video games characterized by a dungeon crawl through procedurally generated levels, turn-based gameplay, tile-based graphics, and permanent death of the player character.