General Words:
* halter
* hammer
* harrow
* harvest
* hatchet
* hazard
* health
* heaven
* heavier
* height
* herald
* heroes
* hisses
* hoarder
* holiday
* hollow
* honesty
* horrors
* hospital
* humble
* humour
Less Common Words:
* haircut
* haunted
* hewable
* hiatus
* hiccups
* hobbies
* hoarded
* hooches
* hooches
* hookahs
* horology
* hostile
Let me know if you want more words or if you have a specific category in mind!