Good topic, I wondering the same thing myself!
Ohh man no question, the polar bear would easily kill the lion. One swipe from the paw would break the lions skull. The lion would try to grab the bears throat if he was successful their hide is sooo tough and fur is so thick there is no way they would even draw blood. I think a polar bear rode by Kobe would deffintely take them to the big dance. But this is on an even playing field, in each others native environments the foreigner would die without even fighting.