General:
* Wide-brimmed
* Straw
* Baseball
* Cowboy
* Fedora
* Sun
* New
* Old
* Funny
* Big
* Small
Figurative:
* Thinking (as in "thinking cap")
* Top (as in "top hat")
* Safety (as in "safety hat")
* Graduation
Phrases:
* A red
* My favorite
* The best
Let me know if you'd like more options, or if you have a specific type of hat in mind!