Shortest or interesting identical moves?

Renslay

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I was playing around with a 2x2, and discovered that these two sequences are identical:

R U' R' U2 R' U R2
and
R2 U R' U2 R' U' R

 Twizzle link 
 Setup 
R U' R' U2 R' U R2
 Moves 


 Twizzle link 
 Setup 
R2 U R' U2 R' U' R
 Moves 


It's even funnier when you notice that the order of the moves are reversed, but not the moves themselves.

I also know from before that on a 3x3 the following two sequences are equal:

R U R' F' U2
and
U2 F' L' U L

 Twizzle link 
 Setup 
R U R' F' U2
 Moves 


 Twizzle link 
 Setup 
U2 F' L' U L
 Moves 


I suspect this is one of the shortest such pair. Obviously it works on 2x2 too, but is there any shorter for 2x2? What other interesting, non-trivially equal sequences out there for 2x2 and 3x3?
 
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