Hypixel1) is a popular2) multiplayer Minecraft: Java Edition3) server network. Party Games is a minigame contained within Hypixel's Arcade Lobby4).

1)
mc.hypixel.net
2)
Player count graphs: https://hypixel.krashnz.com/
3)
In practice, only versions 1.8.9 and latest have first class support
4)
The full list of Arcade games, if you can stand Fandom: https://hypixel.fandom.com/wiki/Arcade_Games