@HBK there are hangman cogs, wordle, chess and many more games. there is an index for cogs that can help you find relevant ones https://index.discord.red/
Other than the standard admin ones, i found the tickettool to be very useful for setting up an approval process before someone is allowed in.
I doubt authentik will enshittify, i have been using it since 2 years and have been on their discord interacting with the team. They are very helpful and recently made some useful enterprise features available for self hosted users which is the opposite of enshittification.
yes, its also called hairpinning. to avoid this you can use a local dns resolver.
@HBK yes, its impossible to go through them all, searching by keywords might be helpful. e.g ‘games’, ‘reminder’, ‘birthday’