I enjoy good propaganda films (but aren't they all, these days, if you leave off the qualifier 'good').
Soldier of Orange is worth the time. Wake Island. Lady Jane. Triumph of the Will (ending is a bit cheesy). Movies that everyone should see at least once would include Olympia 2 (Olympia 1 only for sports fans and cinema fans) and Birth of a Nation.
I'm a big fan of the Shawshank Redemption. Tim Robbins' best movie in my opinion. The Green Mile is also excellent. 10 points to the person who knows who the author of these two gems is off the top of their head.
The LOTR trilogy is obviously up there. I enjoy the Two Towers the most, with The Return of the King in second and The Fellowship of the Ring in third.
I enjoy the Matrix trilogy, but they got successively worse over time. The last one was watchable, but not great. The first one was outstanding and set the bar high for science fiction films for me. Since that time, few sci-fi films have really done it for me.
I'm happy to see Serenity on someone's list. Really enjoyed that movie. Highly underrated. I'd like to see further films made based on the Firefly storyline.
The Star Trek re-make. Top notch, and I'm not a Trekkie in the least. Maybe that's why I loved the movie.
Amistad is an outstanding movie. I didn't see it until a few years ago and I've gotta say it's great.
Going to catch flak for this but one of my favorite movies is The Watchmen. Should you watch this film though, get the edited version and be prepared to fast forward. Hollywood took an otherwise intriguing movie and made sure to add in completely unnecessary sexual garbage that literally adds nothing to the story line.
Dr. Strangelove is most certainly not an unpopular choice. A pristine example of black comedy.