[Calexico]

M83
http://www.youtube.com/watch?v=BmE3vA5wYZE

 

[Kiiskinen]

This may or may not be your cup of hot coco, but you should try Lems. Truly wonderful stuff. http://www.youtube.com/watch?v=4lSqdnhUkro
 
I can also wholeheartedly recommend Emancipator (http://www.youtube.com/watch?v=7YYIFCE_REs), Yann Tiersen (who I recommend to everyone at every possible occasion; http://www.youtube.com/watch?v=j1LPj9msobY), some Penguin Cafe Orchestra (http://www.youtube.com/watch?v=7xfcMQHNnOk) and the entire Buddha Bar CD-collection, although some of the better songs have vocals (http://www.youtube.com/watch?v=P48J8bJ8vjc). Also, browse OCRemix for hidden diamonds (http://ocremix.org/remix/OCR00691/), recommended especially if you're into videogames.
 
And for waking up http://www.youtube.com/watch?v=Ehv5diEd0hg

 

[JamesMcProgger]

Dmitri Shostakovich
Keith Jarret
Jean Baudin - Solace (11 string bass solo album) awesome stuff.
NIN - Ghosts 
 
to mention some.

 

[ChipnDalebowl]

Anything from Dan Gibson and the Solitudes line he founded:
 
http://www.amazon.com/s/qid=1294104290/ref=sr_shvl_1-all?ie=UTF8&keywords=dan%20gibson&rh=n:163856011,n:!624868011,k:dan%20gibson,p_n_feature_browse-bin:625150011

 

[NWG369]

You already mentioned Pachelbel's Canon in D Major, but it's definitely worth a shot to try out Brian Eno's three variations of it, entitled "Fullness of Wind", "French Catalogues", and "Brutal Ardour". It's basically Canon in D but with a much more ambient feel. Extremely soothing.

 

[yifu]

YoYo ma plays Ennio Morricone.
Its a good album to sleep to.

 

[Confispect]

Thought I'd bring this back up.
 
Here a couple I've been dozing off too:
 
Fallen - Evanescence
The Resistance - Muse
Requiem For A Dream - Clint Mansell
The Fountain - Clint Mansell
Lion King Soundtrack - 
This Binary Universe - BT
Aaliyah - Aaliyah

 

[eobet]

Thank you to those who recommended Biosphere and especially Liquid Mind! I'm trying those now.
 
I've found that personally, I sadly had to discard 90% of the recommendations in this thread, because either the music wasn't harmonious enough or the instruments weren't. I even had to cut Pachebel's canon out of my playlist because of the volume increase at the end, and I also had to cut Albatross because of the baseline (which oddly should be the most comforting thing about that song, but apparently not to me, when I'm trying to sleep), so I guess I'm overly sensetive when it comes to these things.
 
Quote:

Also, browse OCRemix for hidden diamonds (http://ocremix.org/remix/OCR00691/), recommended especially if you're into videogames.

This caught my attention... I had that remix ages ago, actually, which reminded me to search for another one I remember being very ambient and good... Zoids as remixed by o2:
 
http://remix.kwed.org/index.php?search=zoids

 

[classakg]

There's a nightwish song i really like, usually it makes me sleepy, "When your lips are still red"  

 

[BoyNamedSue]

spa moods - sounds of nature is very relaxing. 

 

[Ynoskire]

I've recently fallen asleep while listening to music for the first time. I was listening to Goldmund's Corduroy Road, great music and infinitely relaxing.

 

[Boneez]

Brian Eno's ambient stuff is great to fall asleep to... Discreet Music (main track only) and Ambient 4: On Land work best IMO

 

[Confispect]

Little Dragon 
Morcheeba
Clint Mansel
Dark Knight Soundtrack
Pirates Of Carribean Soundtrack
Glitch Mob
Gladiator Soundtrack
Medicine Power
 
That about sums it up just by going thru my playlist. Oh.
 
Kaskade
Globus - Epicon
BT

 

[scompton]

I recently found an album at the thrift store that would be good.  Debussy Music for Oboe and Harp
 
http://www.amazon.com/Debussy-Music-Oboe-Harp/dp/B00008FV93/ref=sr_1_1?ie=UTF8&qid=1297810617&sr=8-1
 
There are a couple of the tracks on youtube
 

 

[BWV988]

Gavin Bryars -  Jesus' Blood Never Failed Me Yet (originally released on Eno's old Obscure label in  -- what was it? 1976?)
 
Eminently soporific!