There were a bunch of (online) games without a well-defined end popular in the late 90s/early 00s too.
https://en.wikipedia.org/wiki/Diablo_II
https://en.wikipedia.org/wiki/StarCraft:_Brood_War
https://en.wikipedia.org/wiki/Diablo_II
https://en.wikipedia.org/wiki/StarCraft:_Brood_War