Electric Light Orchestra had a track called this- on New World Record i think, but that was mid 70s.
Other tracks with this title are:
Shangri-La (Blackeyed Susans album), a 2003 album by The Blackeyed Susans
Shangri-La (Mark Knopfler album), a 2004 album by Mark Knopfler
Shangri-La (Wang Lee-Hom album), an album by Lee-Hom Wang
The Wraith: Shangri-La, an album by Insane Clown Posse
"Shangri-La" (1946 song), a song popularized by The Four Coins in 1957 and The Lettermen in 1969
"Shangri-La" (The Kinks song), a 1969 song by The Kinks
Shangri-La (1976 song), a song by Electric Light Orchestra from A New World Record, also recorded by Grandaddy on Just Like the Fambly Cat
"Shangri-La" (Gerard Joling song), the Dutch entry to the Eurovision Song Contest 1988 by Gerard Joling
"Shangri-La", a song by The Rutles from The Rutles Archaeology
"Shangri-La", a song by Denki Groove from Recycled A
"Shangri-La", a song by Steve Miller Band from Italian X Rays
"Shangri La", a song by A*Teens from New Arrival