The following is taken from the BelowEmpty FAQ page...
Q: What are the titles of all known unreleased Stone Temple Pilots songs?
A: -Only Dying. (1993). Originally a Mighty Joe Young demo song, the band rerecorded it for the The Crow soundtrack. When lead actor Brendan Lee died, the band decided to replace their soundtrack contribution with a song they recorded already for their second album, called Big Empty.
-Watchin' You. (1993). Recorded in late 1993 for the 'KISS My Ass' Kiss Tribute Album, which was eventually released in june 1994, with a completely different track/artist list than the original concept. It is unclear if Stone Temple Pilots was at some point scheduled to contribute 'Watchin' You' to this compilation cd, but it seems very likely since Billboard reported that the band had been working on a recording.
-You Can't Drive Me Away. (2000). Outtake of the No.4 sessions, which was to end up on a Greatest Hits album that was never released. It was performed live once and there is a clip of that available.
-The Way She Moves. (2000). Outtake of the No.4 sessions, which was to end up on a Greatest Hits album that was never released.
-Heed The Water Whisperer. (2000). Outtake of the No.4 sessions, which was to end up on a Greatest Hits album that was never released.
-About A Fool. (2001). Outtake of the Shangri-LA DEE DA sessions.
-Samba Nova. (2001). Outtake of the Shangri-LA DEE DA sessions.
-All In The Suits That You Wear. (2002). This song was recorded in March 2002 right before the band went on tour. There was some talk about a possible soundtrack release, but the song was never used for anything yet. It's expected to end up on the next Stone Temple Pilots album.