After digging through my music library, I have ended up with a few more recommendations.
I suggest Weezer if you like lighter, poppier stuff that can sometimes have a really raw and slightly heavier sound. Their songs are pretty simple but not annoyingly so, and have lots of recognizable and catchy riffs. In a similar but distinct realm, I suggest Angels and Airwaves. Most of their songs aren't too memorable and are actually pretty lame, but they have a few that are absolutely INCREDIBLE: namely "The Adventure," "Everything's Magic," "War," and "Secret Crowds."
Also, your library seems to have a disturbing lack of the motherfucking Beatles. Get on that, and while you're at it, add other classic bands like Queen to it.
Since you seem to like heavier things, I also suggest you dabble in some power metal like Blind Guardian. They're like Dragonforce but much less cheesy, more dramatic, and lacking their insane speed (which actually ends up being beneficial to their sound.)