Original video located here. Accessed 4th February 2016
Song title: Making of a Cyborg
Artist: Kenji Kawai
Year: 1995
Why I like this song:
The Ghost in the Shell may be one of the most widely seen anime worldwide so this would be immediately recognisable.
But it is still an odd way to start an anime: By utilising a Bulgarian Women's choir. And they're performing a piece of medieval Japanese text.
However if the intent was to make something sound timeless in a science fiction setting, then they succeeded better than anyone could've hoped for.