#Mathematica 89 bytes
r@i_:=StringReplace[i,#->" "]&/@(Complement[y,#]&/@Subsequences[y=Characters@i])//Column
Explanation
i
refers to the input string
Subsequences[y=Characters@i]
returns all subsequences (represented lists of characters) of the input. (Subsequences
was introduced in v. 10.4)
For each subsequence, Complement...
returns those characters from the input string that are not present. Each of those characters is replaced by an empty space via StringReplace[i,#->" "]
.
Column
displays the results in a single column. Each output string has the same number of characters, resulting in aligned letters.
r@"abcdefgh"