Did he? Or did he follow orders from the emperor who was using the executive power the galactic senate had given him through their proper process?
Besides, he was only doing it initially for reward, then for the girl. He wasn't about justice and right and wrong. He was about getting money and...
But that was about rebellion, freedom, and political upheaval, not fighting crime.
I would also argue that as an archaeologist, Indiana Jones was not a crime fighter either, just an adventurer.
My nominees would be Batman and spider-man.