One thing I forgot to mention:

I thought it was clever the way they managed to communicate the story in a non-visual way. In a movie, it's easy to cut from one locale to another and not lose the audience. In radio, that's not as easy.

Think about the Death Star battle in the movie. The movie cuts from one cockpit to another, then to the control room on Yavin, then back to cockpits and external views of the fighters.

In the radio drama, we hear most of the battle through the comm system in the Rebel control room, just as Leia hears it.