Interesting topic.
Some of those titles are just a bit off. Normally we don't correct spelling here, but in this case, I want to facilitate anyone who wants to look some of these up, so here's the same list with a little editing, some IMDB links, and my comments, for whatever that's worth.
The Ambulance
Could be
The Ambulance(1990) with Eric Roberts, or
Ambulance(2005), a Danish thriller (looks interesting).
A Clockwork Orange (1971). Maybe Kubrick's best movie (although
2001 is my favorite). Still has an impact.
Hobo With a Shotgun (2011). Part of a recent fad for making movies that deliberately look like low-budget violent thrillers of the 1960s and early '70s.
Moon(2009). I really like this one. Some brain-engaging science fiction (if you accept a couple of extremely unlikely elements). Excellent performance by Sam Rockwell, and also by Kevin Spacey as a robot.
Eagle vs Shark(2007). Looks interesting.
The Rage in Placid Lake(2003). Don't know anything about this, but it's Australian, so that's already a leg up in the weird department. (One that comes to mind is
Love Serenade (1996).)
Cennipead Man
Don't know what this is. Do you mean
The Human Centipede? I'm not even going to link to that.
Mind Warp
Is that this one?
The Brain Machine (1977). Apparently a variant title is
Mind Warp. (Lots of movies go by different titles in different markets.)
Requiem for a Dream (2000). Said to be great. I've never watched it just because I find heroin addiction such a depressing subject.
Mulholland Dr. (2001). Great movie. Once you sort of figure out what the hell it is. I had to read three different essays before this flick made any sense to me.
Memento (2000). Great flick; holds up well.
(Why is it so often misspelled as "Momento"? "Mem", as in "memory"; in this case it's about a guy with anterograde amnesia. (Not "short-term memory loss". His short-term memory works fine.))
Snatch
Septua
Lawn Dogs
Squid vs Whale
The Mothman Prophecies
Tucker and Dale vs Evil (2010). Funny reversal of a slasher-movie formula. Worth listening to the DVD commentary track, too.
Joe versus the Volcano (1990). Really like this one. Offbeat comedy; deserves to be seen more.
American Psycho
Brazil (1985). Probably still Terry Gilliam's best movie.
El Popo
Manos: The Hands of Fate (1966). Hard to describe how bad this is. I don't know if I could make it through the movie sober. Hilarious on MST3K.
Shortbus (2006). Interesting. Part gay porn, part an intriguing indie picture about relationships.
The Killing Jar (2010). Hm; looks like it could be interesting. What happened to Michael Madsen's career? Always liked him.
Cannibal! The Musical (1993). This involved Trey Parker and Matt Stone, pre-
South Park.
Rubber (2010). Absurdist meta-fiction about a homicidal tire. And ... that's about it. I guess you can pick out layers of satirical meaning.
Gummo
Y Tu Mama Tambien (2001). Good movie. Poignant, sexy, socially conscious ... not sure I'd call it weird.
Here's one I like:
Six-String Samurai (1998). Rock-n-roll in the wasteland after 1957's World War III.