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1.
When a stripper who is matted and unshaven wraps her cooter around a dance pole, making her hootch look like a koala on a tree.
Jon: Last night I saw some unshaven crack head bitch dancing at the strip joint.

Greg: Awsome!

Jon: Not really. She did the koala on the pole and scared the shit out of everyone in the place.

Greg: I gotta see that! I hope it doesn't bite me.
by Rex Dutchman October 12, 2010
 
2.
When one partner is a lot taller then the other and they proceed to have sex standing up. The smaller person wrapping around the taller one like a koala holds on to a tree and thrusting up and down on the taller partner.
sex imp standingupsex sexact sexposition thekoala partner thrusting
Last night after they left the bar he took the Imp home and he performed the koala on him.
sex imp standingupsex sexact sexposition thekoala partner thrusting
by Handsome Solo June 27, 2013