Other eerie, haunting, patient, atmospheric films like this one?

The one I can think of which strikes the most similiar note is Elvira Madigan (http://www.imdb.com/title/tt0061620/), especially in the way the landscape seems to reflect the characters' inner thoughts and that feeling of impending doom (the two lovers kill themselves at the end. This isn't a spoiler as it's pointed out at the very beginning). It also takes place in around the same era, 1888.

I'll second Valerie and Her Week of Wonders, which has one of the most haunting scores of the '70s.

There are hundreds more movies that could fit here. Simply because they were the last two movies I'd seen, I'd highly recommend you check out two of the best British films of the '60s, The Servant and Accident (both directed by Joseph Losey, starring Dirk Bogarde and based on Harold Pinter plays.

Oh and here's an incredibly underrated nuclear comedy that I find oddly poignant and atmospheric: The Bed-Sitting Room (http://www.youtube.com/view_play_list?p=2AE317D80826791D&playnext=1&playnext_from=PL&v=EX3ltFkrngY).

Some more endorsements of previously mentioned movies...

I totally agree with mightyodinn and A_Fistful_Of_Pennies, and I am surprised that it took so long before someone here mentioned Werner Herzog's "Aguirre, the Wrath of God" (http://www.imdb.com/title/tt0068182/). This is one of my favourite films of all time (I love the "meditative" genre). I happened to see both Aguirre and PAHR 15 years ago, and they have stayed with me ever since. Rewatching PAHR last night after all those years just reconfirmed its appeal to me.

Like PAHR, Aguirre is haunting and dream-like, with great cinematography and a terrific score. In both films the characters are caught up in a menacing environment with a brooding presence, from which they cannot escape. For me there are also parallels between the final scenes of Aguirre and the way the camera tracks Miranda in PAHR (although Anne-Louise Lambert is decidedly better-looking than Klaus Kinski :-)).

Staying with the theme of disappearances, "Spoorloos" and "Don't Look Now" are just as (if not more) haunting than PAHR, and well worth watching. The 1970s produced many of the films of this style - I wonder why?

Haneke's "The White Ribbon". Like PAHR, the children play a pivotal role in the story--as sinister events unfold in an oppressive, conformist village in Germany prior to WWI. In both stories, the structured and puritanical world becomes underminded by unseen, ominous forces.