- Awesome Music - "Song to the Siren", for starters.
- Covered Up - Many, if not all of their covers qualify, but the obvious example would be "Song to the Siren" by Robin Guthrie and Elizabeth Fraser; you're likely to run into more people that know TMC's version than Buckley's original. John Frusciante also covered it on his album The Empyrean, so it remains to be seen which one becomes more popular...
- Tear Jerker - Quite a few, but their cover "I Come and Stand at Every Door" takes the cake.
YMMV / This Mortal Coil