Remember, I’m not talking about “using” odd modes, that’s not uncommon. What is, I think, more uncommon is a song that’s written almost entirely in another mode.
But sure, if it’s that common let’s limit ourselves to blockbuster film music and pop music.
(I’m especially interested in the locrian mode, because it’s so dissonant).
You know how you have a “key” in music? You know how that key can be major or minor? You know how which it is depends on what note/chord it starts on, and the typical prograssion of chords from one to another? Well, major and minor are just modes. Major is the ionian (1st) mode. Minor is the aeolian (6th) mode of that same scale. Dorian is 2nd, Phrygian is 3rd, Lydian is 4th, Mixolydian is 5th, and Locrian is 7th. They’re characterized by the chord progression and starting notes of the song. There are also, as noted above, modifications of these modes like “Phrygian Dominant” just like you can have “harmonic minor” etc.