Well, if this is still going on, I'd like to add (unless they've already been mentioned; I haven't read all of the posts):
Asking Alexandria - Alerion (the bass impact is amazing)
Three Days Grace - Now or Never, Wake Up
My Darkest Days - **** Star Dancing
Pretty Lights - Hot Like Dimes (all of his albums are free to download and this track is about the only one that I can tolerate; I'm not a fan of dubstep, though)
Queensryche - Empire
Racer X - Godzilla
Rev Theory - Hell Yeah (and it's an awesome pump-up song)
Mogwai - Yes! I Am A Long Way From Home (and a lot more of their stuff; this music is absolutely beautiful)
Sigur Ros - Svefn-G-Englar (another beautiful band, the music is surreal and worth listening to even without huge subs; a lot of there songs have strong bass)
We Came As Romans - Roads That Don't End And Views that Never Cease
Some are better for bass than others and, musically, there are some that many people probably don't like.