• Joe's Garage Act I (1979)
• Joe's Garage Acts II & III (1979)
• Tinsel Town Rebellion (1981)
• Shut Up 'n Play Yer Guitar / Shut Up 'n Play Yer Guitar Some More / Return of the Son of Shut Up 'n Play Yer Guitar (1981, 15 tracks recorded in 1979 and 1980)
• You Are What You Is (1981)
• Ship Arriving Too Late to Save a Drowning Witch (1982, on the first half of "I Come from Nowhere")
• The Man from Utopia (1983)
• We're Only in It for the Money (1968, overdubbed bass tracks c. 1983)
• Cruising with Ruben & the Jets (1968, overdubbed bass tracks c. 1983)
• Them or Us (1984)
• Thing-Fish (1984)
• You Can't Do That on Stage Anymore (select tracks on Vol. 1, Vol. 4 and Vol. 6)
• Guitar (1988, two tracks recorded in 1979)
• Trance-Fusion (2006, one track recorded in 1979)
• Buffalo (2007, recorded in 1980)
• Any Way the Wind Blows [authorized bootleg]
• Saarbrücken 1978 [authorized bootleg]^[6]
• "I Don't Want to Get Drafted" b/w "Ancient Armaments" (single)

• "In the Mood" (1985, artist, arranger, producer) - 12" dance remix of the Glenn Miller classic for MCA records.^[2]
• Music for Listening (1991)^[3]
• Eyebrow Razor (1995)^[4]
• AB3 (1999, artist, composer, arranger, producer, engineer, keyboards, bass, guitar, percussion)^[5]
• On Time (2003, artist, composer, arranger, producer, engineer, keyboards, bass, guitar, percussion)^[5]

The Doors

• An American Prayer (1978)

Robby Krieger

• Versions (1982)
• Robby Krieger (1985)
• No Habla (1989)
• Door Jams (1989)
• Singularity (2010)

Joe Cocker

• 9½ Weeks (1986, movie soundtrack) - "You Can Leave Your Hat On"
• Teachers (1984, movie soundtrack) - "On the Edge of a Dream"

Billy Idol

• Charmed Life (1990, keyboards, bass, arranger)

Diana Ross

• "Touch by Touch" (from the 1984 album Swept Away, co-writer, keyboards, bass, arranger)

Janet Jackson

• Dream Street (1984, co-writer of the title song)

Keith Emerson

• Musical transcription and unreleased recording. Bass

Jon Larsen / Tommy Mars

• 'Strange News from Mars' - a surrealistic concert, feat. Bruce Fowler, Jimmy Carl Black, etc.
• Willie Nickerson's Egg (2011) - a surrealistic audiobook.

The Motels

• Shock (1985, keyboards, bass)

Nina Hagen

• Fearless (1983, keyboards)

Berlin

• Love Life (1984, "No More Words" and "Dancing in Berlin")
• "Take My Breath Away" - Oscar-winning single from Top Gun soundtrack (1986). Keyboards, bass, arranger.

Charlie Sexton

• Pictures for Pleasure (1985, keyboards, bass, co-writer, arranger. 12" Remix of "Impressed")

Scott Merritt

• Violet and Black (1990, producer, arranger, bass, keyboards)

The Untouchables

• Agent Double O Soul (1988, producer, arranger, co-writer)

Oingo Boingo

• 12" Remix of "Stay" (1986)

Mona Lisa Overdrive

• Mona Lisa Overdrive (1993, artist, co-writer, arranger, producer, engineer, keyboards, bass)

Silent film music

• Torrent (1926, starring Greta Garbo)
• The Boob (1926, starring Joan Crawford)
• The Cameraman (1928, starring Buster Keaton)
• The Last Warning (1928, Laura La Plante)
• The Sensation Seekers (1927, Billie Dove)

Films (keyboards, bass, arranger in varying degrees)

• Scarface (1983)
• D.C. Cab (1983)
• Twilight Zone: The Movie (1983)
• Heavenly Bodies (1984)
• The NeverEnding Story (1984)
• Electric Dreams (1984)
• The Breakfast Club (1985)
• Top Gun (1986)
• Iron Eagle (1986)
• Quicksilver (1986)
• Beverly Hills Bodysnatchers (1989)
• The Doors (1991)
• Waxwork II: Lost in Time (1992)
• Saviors of the Forest (1993, documentary)

TV shows (music/lyrics)

• Misfits of Science (1985-1986, an American superhero fantasy television series that aired on NBC from October 1985 to February 1986)
• Fast Times (1986, television mini-series)
• The Great Eclipse (1992, TV movie)
• The Florida Panther

Source: My notes and https://en.wikipedia.org/wiki/Arthur_Barrow

Honorarium, residency and performance at The University of North Texas related to class on Frank Zappa taught by Dr. Joseph Klein in 2009, 2012, 2015, and 2018.

Honorarium, residency and performance of Frank Zappa music at The University of South Dakota, 2013.

U.S. tours with Robby Krieger's Jam Kitchen, 2011 - 2016.

European tour playing guitar with Banned From Utopia (with other Zappa alumni), Spring 2014.

Molde Jazz festival in Norway with Jon Larsen, Summer 2014.

Performed with Steve Vai in his "Big Mama-Jama Jamathon" fundraiser, in 2018.