+5
I'd also recommend "God Told Me To" and also agree that one person's 'obscure' is another persons meat & drink. With this in mind, here's a few you might like.
Suspiria
The Long Good Friday
Man Bites Dog
Valerie's Week Of Wonders
Nosferatu the Vampyre (1979)
Aguirre, Wrath of God (or any of Werner Herzog's 'biggies')
Alice In The Cities
Wings Of Desire
Blood Feast
The Last Hunter
Wild Zero
Versus
Hedwig And The Angry Inch
What Have You Done To Solange?
Punishment Park
The Killer (1989)
The Straight Story
Death Race 2000
Chopper
The Three Colours Trilogy
La Reine Margot
Les Diabolique
Rush (1991)
Seven Samurai (or pretty much anything Kurosawa)
Jean de Florette/Manon Des Sources
Wages of Sin
Cache aka Hidden
36
Elisa (1995)
La Haine
The Girl on The Bridge
Mesrine: Killer Instinct and Mesrine: Public Enemy No. 1
The Double Life Of Veronique
Brotherhood Of The Wolf
The Big Blue
Slacker (1991)
Suburbia (1983)
Class Of '84 (1982)
Peeping Tom
Romanzo Criminale (2005)
The Business (2005)
Looking For Eric (Most Ken Loach is worth a look)
This Is England
Joyeux Noel (2005)
The League Of Gentlemen (1960)
Zulu
The Hill (1965)
I'll stop now, as I really don't know how 'obscure' obscure needs to be for you. Anway, with a bit of luck, there'll be a few things on there for you. Also, if you don't already, start watching documentaries. They don't get a lot of coverage, so most of them are probably obscure unless you're looking for them.