Fun and cool songs to learn on Guitar?

I have been playing guitar for 12-13 years now. I am at a loss for songs to learn...I particularly like memorizing them so I can just play them on any guitar whenever I want.

My list of songs I have memorized as of now:

- Blackbird (Beatles)

- Hallelujah (Rufus Wainwright)

- Rocket Man (Elton John)

- We're Gonna be Friends (White Stripes)

Anyway. Those are some of my favorite songs; I can see We're Gonna be Friends, Rocket Man, and Hallelujah in key and play for my family/school friends etc. However, I can't go very high.

In short: Any classic songs you recommend? I can do fingerpicking, chords, anything...just at a loss for songs.