Kouya no Kotobuki Hikoutai Kanzenban

I really don't see the point of watching this "Kanzenban" edition of The Magnificent Kotobuki other than the additional background info given in the beginning of the movie. It's neither kan (complete) nor zen (whole).

Really, the only reason you want to watch this movie is just for the first 10 minutes of the movie which provides new background content that helps set the plot of the anime series. Beyond that, the movie is a just a horrible compilation of the series with emphasis on the action and aerial dogfighting. Cutting a nearly-four-hour series and trimming it into half the runtime is not exactly the ... best move if the aim is to create a compilation.

If your aim is to get into the series for the first time, just watch the first 10 minutes of the Kanzenban movie and then proceed directly to the first episode of the TV series.