I like a lot of music, but if we're sticking to stuff with lyrics that's not game music, here's a short list of some that I generally don't get tired of (and are on my current playlist):
"If Everyone Cared" by Nickelback (shhhh I don't care how much you hate the band, I like this song)
"Life of a Salesman" by Yellowcard
"Believe" by Yellowcard
"Bones Shatter" by Hedley
"Carnival of Rust" by Poets of the Fall
"Delicious" by Poets of the Fall
"Locking up the Sun" by Poets of the Fall (yes I like these guys)
"Kill the Lights" by The Birthday Massacre
"Spirit Never Die" by MasterPlan
"Titans of our Time" by Iron Savior
"The Mummer's Dance" by Loreena McKennitt (yeah kind of a departure)
Normally there'd be a load of, like, DragonForce, Nightwish (when Tarja was still with them), and Rhapsody, but those are much more situational and I don't listen to them as often now as I used to. I also really like the Aquabats, but less for casual listening and more for just silly shenanigans. Toss in a little bit of E-Nomine and a decent chunk of Anime/J-Rock for good measure (JAM Project, FTW!). IDEK I JUST REALLY LIKE A WEIRD SELECTION OF MUSIC WHEN IT'S NOT GAME MUSIC. =3=;;;;