What are some good guitar songs to learn?

[Mr1337Duck]

My guitar teacher, who I deeply respected, has decided to move on to other things, he started grad school a few cities away and he can't run over to the music store on saturday mornings for 1 or two lessons.

I don't really wanna take lessons anymore, I think I'm good enough to stand on my own feet as a guitarist and start teaching myself. I'm better than most guitar players at my school, but I wanna be better. I know the following songs:

Ariels
In the End
My December
Chop Suey
The first bit of Destroyer of Senses
Seven Nation Army (but everyone knows that song, it's about the easiest popular song there is)
Island in the Sun
The Reason
The Futurama into song



Can anyone recommend some other songs to learn?