Another, Rozen Maiden (2013) Recommendations
The mood of the 2013 adaptation of Rozen Maiden has a similar feeling in comparison to Another. Otherwise, there's also the themes of dolls present in both series as well as a mysterious atmosphere. Both series also deals with a normal boy whose life becomes abnormal after a faithful day.
Both series' OP song are also handled by ALI PROJECT.
Very similar atmosphere. Themes of dolls and humans, loneliness and isolation, finding a place in life where you belong.