| 1983 | | The Burden of Mules |
| 1984 | | Scarecrow |
| 1985 | | Sweatbox |
| 1985 | | The Legendary Wolfgang Press and Other Tall Stories |
| 1985 | | Water |
| 1986 | | Standing Up Straight |
| 1987 | | Big Sex |
| 1988 | | Bird Wood Cage |
| 1988 | | King of Soul |
| 1989 | | Kansas |
| 1989 | | Raintime |
| 1990 | | Live Nantes 01-02-1990 |
| 1991 | | Mama Told Me Not To Come |
| 1991 | | Mama Told Me Not to Come |
| 1991 | | Queer |
| 1991 | | TWP3 |
| 1991 | | Time |
| 1992 | | A Girl Like You |
| 1994 | | Funky Little Demons |
| 1994 | | Going South |
| 2001 | | Everything is Beautiful (a retrospective 1983-1995) |
| 2020 | | Unremembered, Remembered |
| 2024 | | A 2nd Shape |