Here's a potentially controversial suggestion which has always bothered me a little, I was reminded of it when I read someone on another site making the same observation.

If we look at the opening crawl there is one obvious error:

It is a dark time for the Rebellion. Although the Death Star has been destroyed, Imperial troops have driven the Rebel forces from their hidden base and pursued them across the galaxy.

Evading the dreaded Imperial Starfleet, a group of freedom fighters led by Luke Skywalker has established a new secret base on the remote ice world of Hoth.

The evil lord Darth Vader obsessed with finding young Skywalker, has dispatched thousands of remote probes into the far reaches of space....

Luke was not the leader of the rebels so to say he led the group who established the base is vastly inaccurate, this bothers me every time I watch Empire but I'm not really sure if I'd want it changed or if there is a good way to change it.

as I see it there are a couple of options

you could change it to read "led by Princess Leia" which would be more accurate but would necesitate changing the third paragraph to "obsessed with finding Luke Skywalker", but as a whole I don't think that reads as well, changing it to "obsessed with finding the rebel base" reads better but doesn't give us the right information.

the other option would be to change it so it doesn't say "led by" so maybe it could be "a group of freedom fighters including Luke Skywalker" or something to that effect maybe "joined by" or "accompanied by"

as I said the main reason I don't really think it should be changed is because I can't think of a better way to phrase it, but maybe someone else can.