In chess, the knight moves in an 'L' shape. I have not found any additional name for this. Does this movement have a name other than 'L' shaped?
The move a Knight makes is typically called either a "Knight's move", or "L-Shaped".
There aren't really any more common names than those, as the Knight and it's move are both relatively unique, and predate western chess; being one of two pieces that were directly imported from Chaturanga (the other is the Rook) in their current form.
You will occasionally find referrences to the move as a "Knight's Leap" or "Knight's Jump", but those usages are uncommon.
We call it "dhai chaal" (in hindi) or 2.5 steps (in english) in India.