The Spain license plates game
05AB1E, 10 8 bytes

Saved 2 bytes thanks to Leo

ʒæså}éR`


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Explanation

ʒ         # filter list, keep only members for which the following is true
  så      # input is in the
 æ        # powerset of the current word
    }     # end filter
     é    # sort by length
      R   # reverse
       `  # push separately (shortest on top)


I would have used head at the end saving a byte but that would output an empty list if there isn't a match.