Enigma
 

Could someone reccomend some musicians/bands that have a similar atmosphere as Enigma?

Moved to appropriate forum.
Try:

William Orbit.
Jose Padilla.
Bent.
any Cafe Del Mar compilation.

B-Tribe - Flaminco music but the early stuff has a lot of Enigma sound in it

Delerium - Try their albums Karma and Siesmic Spaces

Deep Forest - They came along shortly after Enigma

Gregorian - Basically monks chanting out popular songs