In 1997, the band's debut [url=https://www.discogs.com/release/433160]eponymous CD album[/url] came out on a Japanese label Soup-Disk. The follow-up Toizarasi CD in 1999 was published via Soup-Disk's imprint Sun Out Recordings. Despite domestic-only distribution in Japan, both albums gained international recognition, with Paul Schütze's favorable review in the Wire Magazine, active support from Markus Popp of Oval, who played live with Computer Soup during his visit to Japan in November '98, and praise from Andrew Pekler and Stefan Betke (Pole) among a few notable musicians and publishers. The US label Plug Research released two tracks from "Toizarasi" CD on Lost, Not Found 10" split single with Chessie.

In 2000, Computer Soup presented a limited-edition CD-R trilogy Urumuchistan / Girl From Urumuchi / Urumuchi In The Sky via 360° Records/Plug Research label in Japan. The same year, musicians also released their first [url=https://discogs.com/release/437164]live album[/url] recorded at Nude Lounge and realized several collaborative projects, including an album with Japanese turntablist ensemble BusRatch and Dream Mons CD on Plug Research/Ze-Koo — ambient album with Keiji Yamabe's artwork and eight short stories written for each composition by Yamatsuka Eye of Boredoms, renowned composer Takehisa Kosugi, illustrator Shinro Ohtake, Butoh dancer and performer Akaji Maro, photographer/writer Kyoichi Tsuzuki, and other Japanese artists.

In summer 2002, Computer Soup, which at this point became a trio of Satoru Hori (trumpet) with Kei Ikeda and Osamu Okubo on various toys and electronics, released one of its best-known and most popular albums, Improvisations And Edits Tokyo, 09/26/2001, recorded with German electronic musician Jan Jelinek during his first Japanese concert. The CD album was released by Plug Research in Japan and as part of the Plug Research series by Plug Research/Plug Research in Belgium. In 2010, Computer Soup's last release to date came out, Oldneo digital/cassette album, which featured archival improvisations recorded five years prior with the band's original members, Daisuke Oishi (computer/electronics) and Shusaku Hariya (keyboards).

In May 2018, Jan Jelinek re-released "Improvisations & Edits" on digital/LP via his Plug Research label.