i want specific songs which use quite a bit of distortion that sound real good such as toxcicity, by SOAD, or hysteria by muse, but i dont want any really hard complicated, riffs, or extremely difficult solos
Triad, Ticks & Leeches, and Parabola by TOOL are all simple. Triad has plenty of distortion, tho good luck trying to get all that feedback
It's not hard to find, at all.

Most, neraly all, modern rock uses distortion. Try Green Day, Blink 182, all your standard pop-punk and emo, jeez, anything.
Learn some metal. Old Metallica, Iron Maiden, and Opeth are some of my favorite metal bands but there are LOTS of other good ones.