Penumbra looks to be right up your alley; a very creepy first-person adventure with unique gameplay. You can get a longish demo here (it's actually a prototype version of the real game that was meant to be a tech demo, so it gives you a good feel for the gameplay and atmosphere).
Aside from that, I'd recommend the Monkey Island series (but not Escape from Monkey Island), Grim Fandango, Timelapse (obscure, but relatively cheap), Syberia, the Broken Sword series, Legend of Kyrandia: Hand of Fate, and the (free) flash-based games of Mateusz Skutnik, especially Submachine and Daymare Town.
I would have mentioned the King's Quest and Quest For Glory series, but I always found them to be too hard. You might want to check them out if you want a challenge.
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