Both logos have a lot of detail but one thing I really like is their unique outlines. Imagine seeing just shadows of the logos. It's a good sign when you can place it based solely on that. More on that another day. Still, though, its the Kings with the obviously better looking logo. Defined and unique colors along with those subtle hockey sticks in the crown tip the scales in their favor.
I believe it was the King who ran the Indians and Chief Blackhawk out of town. He was a bastard.
The logos are appropriate for their teams. That's always a good start. The Kings logo, however, goes a step further in reference their home city with the suns on either side of the crown. Nothing really there in the Blackhawks logo. And it has too many colors.