You don't care for David Lynch, but try movies from directors like:
Luis Bunuel (movies such as The Exterminating Angel, Un Chien Andalou, The Discreet Charm of the Bourgeoisie, etc...)
David Cronenberg (The Fly, Videodrome, Naked Lunch, etc..)
Ingmar Bergman (The Seventh Seal, Hour of the Wolf, Wild Strawberries, etc...)
Darren Aronofsky (Pi, Requiem for a Dream, Black Swan, etc...)
Alejandro Jodorowsky (The Holy Mountain, El Topo, Fando and Lis, etc...)
Terry Gilliam (Brazil, Fear and Loathing in Las Vegas, Twelve Monkeys, etc...)
Pretty much all of the Monty Python movies are outside the box
I assume you've seen Kubrick's films, but if not, then get on that
Also, German Expressionism films (Metropolis, The Cabinet of Dr. Caligari, The Golem, etc...)
Here's some more that haven't been mentioned:
Spellbound
8½
Aguirre, the Wrath of God
Diabolique (1955)
Primal Fear
American Psycho
Donnie Darko
The Machinist
Her
Ex Machina
The Happening - it made me sit around and wonder why it was made