#1
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
#2
Triad, Ticks & Leeches, and Parabola by TOOL are all simple. Triad has plenty of distortion, tho good luck trying to get all that feedback
#3
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.
#4
Learn some metal. Old Metallica, Iron Maiden, and Opeth are some of my favorite metal bands but there are LOTS of other good ones.