Recommend me a band like Air (the French band) or Enigma
 

Title says it all. I'm looking for more atmospheric stuff, and these are two of my favorites.

- David Stein

Cusco

Zero 7 (one of my favorite groups - I think Simple Things is one of the best albums of the past decade. They've been called "The British Air")
Tosca (very atmospheric... their new one, Dehli 9, is quite good.)
Balligomingo (very ethereal... when I saw Enigma I immediately thought of them)

Also there's (to a lesser extent) Waldeck, Mandalay, Royksopp, Kid Loco, Lamb, Laika, Moloko, and Mono.

Deep Forest

B-Tribe

That Zero 7 album is exactly like "Moon Safari." I mean exactly.

I wouldn't say exactly.

Simple Things is better. :)

Try E.S. Posthumus. You can only get the cd from cdstreet.com, I believe. They're like Enigma, but way better to me. Their music is also the songs you've heard in trailers like Unfaithful, Spiderman, Planet of the Apes, XXX, and Minority Report. One of my favorite cds.

You might be interested in these:

Tetsu Inoue "World Receiver"
Richie Hawtin and Pete Namlook "From Within..."
Plastikman "Consumed"
Julee Cruise "Floating Into The Night"

Just some idears...

I always enjoyed early Bel Canto and Dead Can Dance is phenomenal (though with a less modern slant).

Art of Noise Ambient Collection

Nightmares on Wax

If you like Zero 7 and Morcheeba also check out Supreme Beings of Leisure

Zoar - they're dark atmospheric

thievery corporation

delerium

Sigur Ros...

Dead Can Dance

Dead Voices on Air

Delerium

KID LOCO

Delerium
Mythos
Govinda
ES Posthumos
Enya
Era
Dead Can Dance
Gregorian (old Gregorian)
Pilgrimage
Deep Forest

Those are more new age type. Although some that's been recommended on here are more downtempo/lounge-type:

Morcheeba
Massive Attack
Thievery Corporation
Kruder & Dorfmeister
Soma Sonic
Rob D (signature song is Clubbed to Death from the Matrix)
Propellerheads
Nightmares on Wax (Trip Hop)
Zero 7
Tosca