Common Words:
* nonetheless
* nonstop
* nonprofit
* nonfiction
* nonexistent
* nonchalant
* non-refundable
* non-negotiable
* non-toxic
* non-smoking
Less Common Words:
* nonagenarian
* nonconformist
* noncombatant
* nonconformity
* non-native
* non-partisan
* non-denominational
* non-linear
* non-alcoholic
Prefixes:
* non- (as in non-fiction, non-profit)
This is just a starting point! There are many more words with "non" in them. You can find more by looking in a dictionary or thesaurus.