Superman vs Thor
Superman is out in space searching for his home planet known as krypton like it was mentioned in Superman Returns.
Thor is currently in Jotunheim alongside the warriors three, Sif and Loki. He is out to seek glory and honor by defeating the frost giants.
All of a sudden Superman's ship crash lands on Jotunheim.
Out comes Superman, somewhat confused and a bit out of it. Thor thinks Kal-El is key to the frost giants army and attacks him. Superman defends himself and fights back.
Meanwhile a intrigued Odin watches and orders Heimdall not to send Superman back where he belongs. He can tell it is a powerful alien from Midgar and lets him stay for a while. Hopefully their fight can humble his arrogant son. However he does teleport the other asgardians and son back to Asgard.
VS
Scenario 1: Both are fighting In Character.
Scenario 2: Both combatants are bloodlusted and CIS is off.
Discuss.