(Interesting bit of trivia: The phrase "My God, it's full of stars" was not a part of the film 2001, but was a part of the novel. In the novel, the "star gate" monolith was found on the surface of Saturn's moon Japetus (or Iapetus), rather than floating in space near Jupiter. As Bowman flies over the monolith, it suddenly changes from a towering slab to an infinite tunnel. As this happens, he utters the final phrase: "The thing's hollow! It goes on forever, and... oh My God, it's full of stars!")
My favorite actor in the sequel was John Lithgow. He played the scientist Dr. Walter Curnow, who built the Discovery.
I saw the movie afterwards, with all the acclaim it had.
Long hard movie to sit through.
2010 was an easier movie, though I didn't find the story near as interesting.
I wish someone would do a big budget movie of Rendezvous With Rama.