Death stranding where people built structures for other people in the world is one.
Minecraft servers where you gather resources for your friend and put a sign up with a message.
Anything where you can interact with each other but don’t have to be logged in at the same time.
I always thought the messages left by other players in Dark Souls was such a cool mechanic.
They could be helpful, letting the player know to be wary of danger, or they could be completely disingenuous and trick the player into jumping off a cliff and dying.
I always labored over whether or not to take a leap of faith based on other players’ messages cause it was a toss-up whether they were being helpful or trolling, lol.
SimCity’s cooperative structure building - anything where the group has to earn “points”. PvP asynchronous mechanics are essentially anything where a player can be attacked while offline.