The first acoustic song is by Occam and the song is I Was a Dervish and it's a Gabor Deutsch Mantramix (remix).
It's a very soothing song.
[Youtube] Occam - I Was a Dervish - Gabor Deutsch Mantramix
The second song is not quite acoustic, but it does take your mind far away. It's White Hinterland with the song Icarus.
[Youtube] White Hinterland - Icarus