Continuity mistake: When one of the stormtroopers unties Han Solo before he is put into the carbonite, watch his wardrobe - he has a disappearing / reappearing jacket on. This is fixed to an extent on the DVD - the jacket is now lightened to almost match his shirt, but it's still shiny like leather. (01:32:05)
Suggested correction: It just looks like a jacket because it's a shadow.
Trivia: There was a false page in the original script in order to fool all of the people working on the film. This was to keep it secret that Darth Vader was Luke's father. Only George Lucas, the producers and James Earl Jones knew the truth. Mark Hamill was told just moments before filming this scene so his reaction would be right, while David Prowse read the lines from the original script "Obi-Wan killed your father."
Suggested correction: Mark Hamill stated multiple times that he knew for over a year about the twist. It was a secret for the remaining cast though.
Trivia: In the first take of Darth Vader and his troops entering the Rebel base, the lead troopers tripped, a stuntman stepped on the cape of David Prowse (Darth Vader), the cape tore free and Prowse fell on the troopers.
Well I for one didn't know about it, so it's interesting to know it happened. Behind the scenes stuff is generally valid trivia.
Other mistake: When the Star Destroyers are seen for the first time, in the second shot, some of the TIE fighters that fly over a Star Destroyer are transparent. (00:19:55)
Suggested correction: Just loaded up Disney+. I watched that scene - all the Tie Fighters are not transparent. What you're seeing is light set used to light up the Tie Fighters in space, to give the illusion that the Star Destroyer engines are shining on them.
Continuity mistake: At the end of the movie when the Millennium Falcon is escaping from the TIE fighters we see some going after the Falcon then we see a shot of Vader looking at it - there are now no TIE fighters. They had no time to escape away. (01:57:45)
Suggested correction: Actually, the TIE fighters are still there. They're just too small to see.
Other mistake: In the ending credits, Denis Lawson's name is misspelled "Dennis." The filmmakers made the same mistake in "Star Wars."
Suggested correction: And in the Star Wars corrections page, you will find that mistake with the explanation that Lawson has used both Denis and Dennis in his career.
Continuity mistake: As already noted in another mistake, when Han is about to be frozen in carbonite, his jacket appears and disappears between shots. This jacket can also be seen when Lando says, "You're being put into carbon freeze." This shot was not fixed in the DVD. (01:35:05)
Suggested correction: That is a shadow, giving the illusion it's a jacket.
Visible crew/equipment: When Luke and Vader are fighting in the carbon-freezing room, in the wideshot after Luke does a somersault, a crew member is visible in the steam on the right side of Vader, moving out of the way. (01:40:50)
Suggested correction: It's Luke, not a crew member.
Revealing mistake: When we see the Star Destroyer for the first time, there are three of them on screen. The one on the top left, can still be seen even after another Star Destroyer came into frame and blocks the view.
Suggested correction: The Star Destroyer that blocks the other ones from view is transparent. It got fixed for the DVD.
Continuity mistake: During the battle of Hoth, Wedge flies a full circle around the AT-AT walker and when the walker begins to fall, you can see the cable around its legs, but in a side view of the walker falling, the cable is nowhere to be seen.
Suggested correction: The cable is thin and we only see closer in shots until the walker falls, but you still can see it, barely in 1080p, right as the head hits as a line between the top of the front leg connecting to the back leg.