Goofs:
Continuity: On Vader's Star Destroyer near the end of the movie, the rank insignia of the Imperial officers changes sides repeatedly. (This has been fixed on the 2004 DVD release.) (more)

Trivia:
The lightsaber fight scenes set in the carbon freezing chamber tend to focus on Luke. This is because during many of the shots, Bob Anderson (Vader's fight double) was not wearing the Darth Vader helmet, as it made it difficult for him to breathe. (more)

Filming Locations:
Alcatraz Island, San Francisco Bay, California, USA (more)

Quotes:
[first lines]
Luke: Echo Three to Echo Seven. Han, old buddy, do you read me?
Han Solo: Loud and clear, kid. What's up?
Luke: Well, I finished my circle. I don't pick up any life readings.
Han Solo: There isn't enough life on this ice cube to fill a space cruiser. Sensors are placed. I'm going back.
Luke: Right. I'll see you shortly. There's a meteorite that hit the ground near here. I want to check it out. It won't take long.
(more)

Awards:
Won Oscar. Another 10 wins & 12 nominations (more)