Some real time strategy games might also work. I suspect Age of Empires 2 won't be too problematic if the high latency only makes your orders take a bit longer to happen. Warcraft 3 (the original release) might also be worth checking, you can find private lobbies to use in place of Battle.Net. I suspect most Total War games might do fine, too, as even the real time battles don't require a million clicks per second.

Old MMORPGs can also remain playable with up to ~600ms of latency, so you could give a try to WoW on private servers running older expansions, FF14 (free up to level 60, I think) or Guild Wars 2, for instance.