Good songs for guitar?

You can check youtube for guitar lessons, they're plenty of them.. the song Mad by Neyo sounds nice in an electric guitar you might want to check it out at youtube.

Good "exercises" I would say would be to just play some scales. I would suggest looking up the Harmonic Minor scale (any key). It has a sweet sound, especially when you play string 6-5-4 up and down. That is a good warm up I do. In terms of solos, I have only learned one in full (Amon Amarth's "Gods of War Arise"). Its sweet, really easy and melodic. I'm also learning Coheed and Cambria's Welcome Home solo. I know the beginning, which is great to play!

Try to play John Denver's country song or Beetle's song with guitar, i like the simplicity and use them for my early stage of learning.

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If you want to play rock, use the blues, minor pentatonic, or blues minor scales. Hotel california has a great solo. To build dexterity, loosen up your fingers, and get used to fingering the fingerboard, you can use what's called the spider exercise by keeping your 4 fingers to 4 frets in a row, and playing the 6th string with the index finger, then the middle finger. Then play the 5th string with the 3rd finger, then the little finger. Then the 6th string with the 3rd, then little finger. Then the 5th string with the index, then middle fingers. Then you can move the whole thing up a string, and continue moving it up until the last string, then play the whole thing backwards.