"Equilibrium" IS by Hollywood.
The company that finances and produces it is Dimension Films
which is like a branch of The Weinstein Company which is a
subcompany of Miramax Studios. IE. It's Hollywood trying not to
look like Hollywood! Even "Juno", "American Beauty" and basically
almost all Oscar films belong to this category too.
Really non-Hollywood... seldom make it to the cinema's here. If
you wanna catch them you will need to go to those niche screenings.
An example would be "A Snake of June" -
http://www.imdb.com/title/tt0330904/
I think you are referring more to non-mainstream films rather
than non-hollywood. Yes yes it's a technicality... Sorry about
being anal retentive.
My most recent non-hollywood film would be "The Road Home" by
Zhang Yimou which is before he got famous. Another more recent film
would be "Dinner with Murakami" a 2008 documentary which we
screened at The Substation.