There are games that announce to the player once they advance in an achievement. Is there a way to do the same with Diablo. So that every time I open another chest/kill a new unique enemy the game will announce to me that I've advanced toward getting the challenge and how much I have left?
Currently, no announcements for advancing in an achievement exist besides the completion announcement. However, to track your progress you can still open the achievement menu and have a look on the progress bars there.