Could anybody recommend me some good "artistic" game?

Braid, the art in that game is beautiful.

Machinarium is great. Point and click puzzle or w/e it called P:
Also Osmos is interesting

Aquaria, BIT.TRIP RUNNER, Blackwell games, Cave Story+, Machinarium, Toki Tori, VVVVVV.

Superbrothers: Sword & Sworcery EP

Though, in my personal opinion, its writing is the weakest element of this game.

Ones I haven't tried but am looking forward to:

Heavy Rain (PS3 only)

The Stanley Parable (Half-life 2 mod)

Triptych (Crysis mod)

To The Moon (as stated in other threads, it's coming to steam, YAY)

Nikopol (have it, need to play it)

I also know the Myst series is generally recommended when people ask for games like Dear Esther

Also, I loved Dear Esther too, amazing game (or whatever you want to call it). Never felt like I was actually in the gameworld before, all the atmospheric details really did a good job of doing that

This is fairly interesting and very very (extremely) short

Bit.Trip series, LIMBO, Eufloria, Braid. There should be more.

The Path

But I don't know what you mean by "artistic" (and I don't know Dear Esther). Some of the recommendations (Blackwell, Machinarium, Nikopol, Osmos, Braid) I would not consider more or less "artistic" than any other random game.

Draw Something.

The Last Express, but i doubt you could find it legaly.

Aquaria
Bastion
Blackwell
Braid
Eufloria
Limbo
Night Sky
Nyxquest
Osmos
Really BigSky
Machinarium
Samorost
Trauma
Trine

I wanna be the guy free to download

Zeno Clash of course.

The Path

I'll dare to say Duke Nukem Forever :P

You know what I mean.

Yume Nikki is very artistic and bizarre to the point of being worth some time. Not incredibly playable, but it's worth taking a look.

Another artistically bizarre game that I like is Eternal Darkness, but that's for the Gamecube.

the cat and the coup

tells arab history the best way and amazing arts in it too

Try Terraria it is like 2d minecraft and also a good game)

I'd say Trine. Was not dissapointed when bought it on sale, and co-op is very fun thing to do. Myself prefer original Trine over Trine 2.

Mass Effect 3. The guys that made it have plenty of artistic integrity.

having sex