On Four Dots Records:
Polkamania (1980)
Music for Squares (1981)
Urban Grownups (1982)
Originals (1983, cassette only)
World Dance Music (1984)
No Sad Faces (1984, live)
On Rounder Records:
Polkatharsis (1987)
Musical Varieties (1988, collection of best Four Dots tracks)
Humansville (1989)
A Night on Earth (1990)
It’s Christmas, Man! (1992)
No, No, No, Cha Cha Cha (1993)
Polkas for a Gloomy World (1995, Grammy nominated)
Mood Swing Music (1996, collection of rare recording)
Girl (1996, collaboration with Tiny Tim)
Group Dance Epidemic (1997)
Polka Party with Brave Combo – Live and Wild (1998, Grammy nominated)
The Process (2000)
All Wound Up – A Family Music Party (2001, Grammy nominated)
Box Of Ghosts (2003)
On Cleveland International Records:
Polkasonic (1999, Grammy Award winner)
Kick-Ass Polkas (2001, Grammy nominated)
Japanese Releases:
Eejhanaika (1991)
Kikusuimaru Meets Brave Combo (1993)
Watermelon Records:
Kiss of Fire (1996, collaboration Lauren Agnelli)
On dentone Records:
The Hokey Pokey (1995, EP)
Let’s Kiss (2004, Grammy Award Winner)
Holidays! (2005)
Polka’s Revenge (2007)
The Exotic Rocking Life (2008)
Symphonic Polkas (2009)
Christmas Present (2009)
Kikiriki (2010)
Sounds of the Hollow (2012)
Live At Blob’s Park (2014)
The Liminal Zone (2015)