General synonyms:
* Eliminated
* Exterminated
* Abolished
* Wiped out
* Destroyed
* Annihilated
* Extinguished
* Obliterated
More specific synonyms:
* Uprooted (for something growing or spreading)
* Erased (for something intangible like a memory or belief)
* Stamped out (for something that is difficult to control)
* Quelled (for something dangerous or harmful)
The best synonym to use will depend on the specific context of the sentence.