I don't really have five songs specifically.
I like listening to:
Testament (Low-The Gathering)
In the Arms of God - COC,
Kill em' All and Ride the Lighting - Metallica
DEI era or earlier Meshuggah
Appetite for Destruction - Gun's N Roses
Any of the last couple of Enslaved albums.
Believe it or not, I listen to a lot of podcasts in the gym too, especially on days when I am ready to go and don't need additional motivation. It lets me kind of zone out into my own little world.
I wish I could find who programs the music at my mega-chain gym. They should be forced to try and set PRs while listening to european, techno remixes of shitty 80s tunes. It's horrible.