Championship belts would also fall under both categories. Copyright on the design/artwork (right to copy/reproduce) and trademark on the image/likeness once it's used it commerce by whatever organization,
e.g. The NWA and Turner suing Flair and Titan Sports in 1991 for capitalizing on the Big Gold Belt as the symbol of the NWA and/or WCW World title with the whole "Real World Champion" deal.
This short bit may help explain the "copyright" side of things (although it goes much further than just that):
-------------------- The Traveller a fan since '68....
"Reputation is what others think about you. Honor is what you know about yourself. The friction tends to arise when the two are not the same.... Guard your honor; let your reputation fall where it may."