I hope I got the idea of this thread right.

Games, Games, Games! Is still kicking, but there could always be more than from three to six users.

In Pokemon Brainstrain and Pokemon Hangman you can collect Pokemon figurines or plushies.
Twisted Wishes is another favourite of mine. There you make wishes, that come true, but there's always a negative twist as a result.
Lingo! is also great fun.

On behalf of every player, I welcome you to play these and other games in Games, Games, Games!