Favorite Non-WCA Event Puzzle?

I quite fancy the 3x3x3 cube where you can only turn the sides one way or another depending on arrows on the edge pieces (I'm not sure what it's called). Although, I don't have one myself.

My favourite non-cube puzzle is the Megaminx, which I would also like to have.
 
2-8 relay for me against 2-7 relay for my wife. We always try to get it under 25 minutes and are often just a few seconds apart in time. Since I finish with 8x8x8 and she finishes with 4x4x4 it sometimes comes down to "who has parity and who doesn't" on the final last layer.

Privately: Match-The-Scramble or Clock-Without-Flipping

You're so lucky your wife cubes!
 
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