Succession games are a popular part of Dwarf Fortress gameplay, in which rulers take turns playing the game, usually for a period of one year each.
A particular type of succession game is the Bloodline game, in which players do not alternate turns, but instead rule for one year each and pass it on to the next willing ruler. A notable example and by far the most famous is Boatmurdered.
In a second type of bloodline game, players take turns based on real-time. An example is the popular "Sparkgear" franchise, which limits players to 24 hours each.
If you wish to play a succession game, the Bay 12 Forums for Community Games & Stories is the place to go. You may also ask about it on many of the other forums/servers/channels linked to on the Main Page, or strike out on one with your friends. If you wish for alternate games, you may use an internet search engine such as Google.