Here are a few that I have found that are more art than game (imho!).
"These all also might be games for non-gamers. Even if you have never touched a video game in your life, just take a quick look.
Not really a game, but had impact. Freedom Bridge | Necessary Games
This lovely one bought a tear to my eye. http://www.ludomancy.com/games/today.php?lang=en
Another not really a game. Play it through twice and be daring! Every Day The Same Dream | Miscellaneous Games | Play Free Games Online at Armor Games
A curious and introspective little puzzle game. Keep playing this one. It's a little bit of beauty. http://www.kongregate.com/games/2DAr...pany-of-myself