How do you do Diablo III boss runs?
Solution 1:
At the character selection screen, use the "Change Quest" button, just under "Start/Resume Game". There you can select at what stage along the quest chain to start.
For example, in the beta if you just want to kill the Skeleton King again, select the final part in Act I ("Reign of the Black King"), and the final step ("The Royal Crypts"), then hit "Select Quest" and begin your game.