More than one project with this name:

1) Exquisite Corpse - Robert Heynen & Debbie Jones, ambient tribal techno. Also known as XCOR since becoming a duo in 1993.
URLs:
http://discogs.com/artist/Exquisite+Corpse,
http://sonic-soul.ca/music/exquisitecorpse/index.html

2) Exquisite Corpse - metal band, released on Semetery Records, Wotre Music.
URLs:
http://discogs.com/artist/Exquisite+Corpse+(2)

3) Exquisite Corpse - an online project having people at musical messageboards, mostly Xltronic, independently create parts in given tempo and key, then mixed by another person.
URLs:
http://exquisite.olseth.org Read more on Last.fm. User-contributed text is available under the Creative Commons By-SA License; additional terms may apply.