Right. Since I'm sleepless anyway:

[hmpf]

Insanely relaxing and pretty online games:

For the most part, don't expect much challenge here; although *some* of the games do provide some nice puzzles to make you think. Most are very easy, though - and all are very pretty. If you should need a walkthrough at some point, http://jayisgames.com is the place to go.


Point-and-click adventures:

http://amanita-design.net/samorost-1/
http://amanita-design.net/samorost-2/ - Samorost is a classic of the genre.

http://www.daymaretown.com/ - Some people find this a bit creepy.

http://www.submachineworld.com/ - This series is a bit more challenging. Also, long.

http://fastgames.com/littlewheel.html - Very simplistic gameplay, but exceedingly pretty.


Surreal flash experiences:

http://www.polcarstva.net/ - Russian fairytale based?

http://www.vectorpark.com/park/ - Try everything.

http://www.feedthehead.net/ - Do what the URL says.

http://box7box.com/tinygrow.html - The point? Who needs a point when you can grow surreal flowers?

http://www.deepchalk.net/ - The intro screen looks a bit rough, but the game itself is pretty, even if surreal to the point of incomprehensibility
http://www.deepchalk.net/secondphase.html


Exploration platformers:

http://westykid.deviantart.com/art/nevermore-1-26567268 - Vaguely Miyazaki-esque series, first part. Second and third part vastly improve on this.
http://westykid.deviantart.com/art/Nevermore-2-30222032 - Technically a prequel.
http://westykid.deviantart.com/art/Nevermore-3-120482622 - The prettiest, longest, and generally most accomplished of the three.

http://www.newgrounds.com/portal/view/503833 - You're a beautifully animated fox running around in a rainy mountain landscape. Insanely relaxing.


Puzzles:

http://launchingpadgames.com/games/the-pretender - Lovely platform puzzle; beautiful, and not too difficult. If the dialogue that keeps popping up annoys you: that's only in the three intro levels, to give you the backstory.