I just discovered an easy way to get the above mentioned achievment.
Step by Step guide:
1. Change your quest to "Act I; 4:Reign of the black king; The royal cripts", preferably on a high difficulity. (as you have to get killed by the Skeleton King)
2. Enter game
3. Search for the Skeleton King
4. Enter the room, destroy all the Jars of Ash
5. Trigger the Skeleton King and let yourself die
You will respawn in front of the chamber and the jars should have respawned. Repeat until you got the achv and that's it.
Triggering him right after entering the room may speed things up as you can destroy the jars while the event occurs.
You may want to deposit your equip in your chest to avoid high repairing costs (if this works, didn't test).
Tested on Hell difficulity with a demon hunter.
PS: You can find the achievment under Achievements->Challenges->Act I->Jars of Destruction