The first track could be iron maiden (maybe run to the hills?) but it also reminds me of the cult - she sells sanctuary, 2nd track sounds "new wave" but don't recognise it, 3rd maybe the Prodigy.
The first song vocals certainly sound like Bruce Dickinson from Iron Maiden but that's definitely not a Maiden or Bruce Dickinson song. As Annea said, Run to the Hills has a vocal run like that just before the last chorus but it seems as if the song is looped. The music is definitely not Maiden or solo Bruce or it's so inaudible that it doesn't resemble anything by either band. The rest I can't help you with.
I thought the "singing" on the first song was Sebastian Bach, song 2 I'm clueless but song 3 could just be a single patch from a synthesizer. I know my board has some pre-made multilayered sounds that are Chemical Brother sounding but again, no help here.
It's very possible that all of them could've been original pieces made specifically for the maze. But thank you everyone for taking the time to listen and help out.