Formal:
* Terminate
* Discontinue
* Stop
* End
* Halt
* Desist
* Suspend
* Abolish
Informal:
* Quit
* Give up
* Call it quits
* Break off
More specific:
* Annihilate (for complete destruction)
* Extinguish (for putting out a fire or light)
* Quell (for suppressing something, like rebellion)
* Suppress (for preventing something from happening)
The best synonym will depend on the specific situation and the desired tone.