There are at least 2 bands called The Odyssey (quite many '+10' The Odyssey without article). Here listed in chronological release order. There are one 60's Ca, USA and a 00's band from Finland- 1) The Odyssey were a somewhat mysterious Los Angeles-based garage band, signed to the White Whale label, who cut a hot little piece of put-down punk gold in 1968 before disappearing. It's been rumored that the Odyssey were members of the Turtles working under a pseudonym, but there are others who believe them to be members of two other groups, the L.