I like asymmetrical games a lot, and there may be a lot of people who don't know what they are, so I thought I'd make a list. If you have more to contribute, feel free to add! :)
Single & Multiplayer Games:
- Lost Vikings 2
- Never Alone
- Trine 1-4
Singleplayer Only:
- Brothers: A Tale of Two Sons
- Lost Vikings
- Thomas Was Alone
Multiplayer Only:
- Cook, Serve, Delicious 1-2 (has single player, but it doesn't feel asymmetrical)
- Dead by Daylight
- Depth
- Friday the 13th
- Guns of Icarus Online/Alliance
- Hidden In Plain Sight
- Keep Talking & Nobody Explodes
- Last Year
- Prop Hunt (game mode in Garry's Mod)
- SpyParty
- Tick Tock: A Tale for Two
- We Were Here -trilogy