The Kansas City Chiefs and the Atlanta Braves don't have depictions of Native Americans. They have a tomahawk and the tip of a spear depicted in their logos respectively.
The Milwaukee Braves did have what looks like a war whooping Native American. I'm looking at those refrigerator magnet depictions now, but will probably settle on the present Atlanta Braves tomahawk and Chiefs Speer depictions for my historical collection.
The Milwaukee Braves moved to Atlanta in 1966 I think and lost the Native American depiction at that time, so the current fridge magnet depicting the Native American would not be historically accurate.
Update, I'm still waiting for delivery of my historical Mississippi flag.