General:
* House rules
* House cleaning
* House party
* House warming
* House arrest
* House of cards
Specific:
* House of Commons
* House of Lords
* House of Representatives
* House of Prayer
* House of Usher
* House of Gucci
Figurative:
* House of pain
* House of horrors
* House of dreams
* House of refuge
* House of secrets
Humorous:
* House of Mouse
* House of Pancakes
* House of Noodles
* House of Cards (TV show)
These are just a few examples, and there are many other possibilities depending on the context and your intended meaning.