I’m terrible working out which new films are going to be decent/popular. Here are a few suggestions which are not new releases but great films.
There Will Be Blood  - last shown: summer 07/08
Highly rated, possibly Paul Thomas Anderson’s best.
No Country for Old Men  - last shown: summer 07/08
Up there with Fargo and The Big Lebowski.
The Treasure of the Sierra Madre  - last shown: never
One of the greatest westerns - but often forgotten.
Groundhog Day  - last shown: spring 05/06
Bill Murray’s best - fun as a kid, fun as an adult.
The Gold Rush  - last shown: never
One of Chaplin’s best. Would be great to have another silent film showing. Metropolis was amazing.
Full Metal Jacket  - last shown: summer 98/99
Claims to be “the greatest war film” - not quite, but a good film indeed.
American History X  - last shown: spring 01/02
Popular, safe bet.
The Princess Bride  - last shown: summer 99/00
Something a bit different - has surprisingly wide appeal.
Into the Wild  - last shown: autumn 07/08
Inspiring, AFI’s movie of the year '08.
The Green Mile  - last shown: spring 04/05
From Hanks’ peak era, touching classic.