These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Being more familiar with the problem after Empire, the leadup to Jedi involved the rebels searching for two rebel spies (Tay Vanis and Yom Argo) and the important data they had, revealed at the end of the arc (and right before Jedi came out) that it was information on the new Death Star.
One early annual, published before The Empire Strikes Back, features a character telling Luke that Obi-Wan Kenobi, Anakin Skywalker and Darth Vader saved his planet from destruction.
Harsher in Hindsight: At one point, Vader consoles a Rebel wannabe whose mother was just killed. The young man becomes a stormtrooper... and, many issues later, a Dark Lord of the Sith.
A lot of letters to the editor come off rather funny now that the films are complete. One in particular is from #24 where a complaint is that "Luke and Leia act more like older brother and sister then sweethearts."
Han as an adventurer archaeologist, years before Indiana Jones.
In one of the annuals, the authors have Vader recruiting a young man who has just found his mother's dead body. (Vader didn't kill her, not directly, and the guy blames the Alliance for bringing the bombing down on them.) And Vader muses aloud that he was once in the same position. (The trick here is that, in-story, we're meant to think that this is Luke talking to the guy about finding his Aunt and Uncle ...)
Leia is too busy playing Save the Villain with Luke and Han to go to a meeting she knew nothing about, so the Heroes of Yavin are forever barred from participating in the galactic government.
Never Live It Down - The series has a whole has a big reputation for silliness due to things like Jaxxon. The silliness is there in places but in fact the really oddball stuff is the exception rather than the rule.
So Bad, It's Good: The series could get very campy on occasion. Remember, this was before most of the universe was defined.
What Do You Mean, It's Not Political? - The Alliance has Luke work as a liaison to other anti-Imperial Rebels who have been fighting The Empire for 50 years, even falling in love with a girl who gets fridged, and then the revolution succeeds, but without the new king, they descend into anarchy. This was around the time of Iran-Contra.
The Woobie - Dani. Also Wedge in one particular issue.