General opposites:
* Improper
* Inappropriate
* Unbecoming
* Unfitting
* Wrong
* Incorrect
More specific opposites:
* Informal (opposite of formal proper)
* Casual (opposite of proper dress)
* Untidy (opposite of proper appearance)
* Faulty (opposite of proper functioning)
Example:
* "That's not a proper way to behave!" (opposite: improper)
* "This is a proper noun." (opposite: common noun)
To provide the best opposite for "proper," please give me more context!