One rule that I cut from the rules that comes with Crazier Eights is still in the comprehensive rules and it could add a new element to the game that you enjoy:
Players can use teams (with two or three people on each team). When playing in teams, the entire team wins or loses together. Any player who wins on a team causes the whole team to win the game. Any player who loses the game on a team causes the whole team to lose.
I haven’t actually playtested this idea a lot, but I have done it now and then, and seemed to work out pretty well. It adds a new way of playing the game. Having another player “on your side” changes the dynamic of play.
Have any ideas for changing the game around a bit? Try them out, and let us know if it worked out well in the comments.