Macross F Movie 1: Itsuwari no Utahime

movies about sci-fi and music that can cause either the destruction or salvation of humanity sung by girls who like the main character NOTE: before watching Edymion no Kiseki, you must watch the original series first, otherwise you'll understand nothing 

And the second part, Sayonara no Tsubasa, look very similar - 2 girls fight monsters with music. Macross Frontire is part of a larger universe, so Symphogear, after the first episode, looks like a lighter version. 

Both are part 1 movie renditions of great mecha series. I would say that both are a bit difficult to get into since some prior knowledge would definitely help, but hey, at least we get them down to movie form.