There are a lot of Star Wars stories during that time but if you go back and look at my post, i said story pertaining to the Skywalker Saga. And in those 19 years for the sake of the overall story, nothing happened.
Things like Padme becoming a Senator does not need to be explained. Eps 1. She is a Queen, Eps 2, she is a senator. You don't need an explanation, for that really. They did in give you simple line in the movie and it was enough. But it's not a story that needs to be told.
And yes, the movies tend to drop you in mid action but the opening crawl is enough to get you situated. There is way too much story that needs to betold and explained in the sequel trilogy. So much so that for the first time in the Saga, they had to have flashbacks and flashback visions in order to convey to the audience what was going on. The other proof is how conflicted fans are about Luke and his almost cold blooded murder of Ben. This is because we only know Luke from what we last saw of him in Return of the Jedi. So for a lot of fans, it just doesn't make sense. But if you had 3 movies of story development of pressures and incidents that happened that caused the changes in Luke and Ben so that the audience understood Luke's feelings and why he felt such action might be needed, fans would not feel as lost.
I'm not alone, take a look at my last couple posts and see how many likes they received in support.