The first time I've watched this was likely on the SciFi channel sometime in the late 90s or early 2000s. I had heard of it, of course, even knew the ending through pop culture osmosis.
So watching it was one of those odd experiences of knowing all the edges of the culture jigsaw pieces but not the center.
Let's watch!
Now, this is a late 60s film, although you'd swear it was a 70s film given Heston and the greasy Technicolor we later find in the likes of Omega Man or Soylent Green.
Surprisingly, this film was written by the same scriptwriter for Bridge Over the River Kwai, and co written by Rod Serling.
That Rod Serling. Really.
In doing some research this morning, I also found out it's based on a French novel. It would have been the Eiffel Tower and not the Statue of Liberty.
@socketwench - There's one shot near the end of the movie where Heston talks to one of the other apes across a canyon. I accidentally found myself there, and got a sudden sense of Deja Vu. It's in Glen Canyon, which I was driving through.