First, you can start with the movies (like Little Manhattan, Iron Giant) that are linked to their graphic images below (far left), as those are definitely some favorites. Regarding Planet of the Apes, I'll point out that K and his dad watched the entire series of films and loved them all (I've seen three).
Here are some other titles we highly recommend (in no particular order):
The Prisoner TV series (PG)
Never Cry Wolf (PG)
Blindsight (PG)
War Games (PG)
Rivers and Tides (G)
Jackie Chan: Snake in the Eagle's Shadow (PG)
True Grit (PG)
Eight Below (PG)
Children of Heaven (PG)
Genre: '50s Sci Fi/Fantasy and "Horror" Movies
Genre: Ray Harryhausen
Genre: Hayao Miyazaki
Genre: Documentaries
Ok, that might keep you busy for a while.
What you you watched lately with your own kids?