Layla acoustic version by Clapton should be right down your alley. Pretty much anything by Weezer as well.
The solo from Don't Stop Believing by Journey is pretty simple, and it sounds cool too.
This might be a little too easy, but "One" by Three Dog Night is an easy solo.
On a slightly more difficult level, try anything by nirvana (other than those crazy noise anti-solos like on in utero :P), AC/DC.
To solo on your own try looking up the blues pentatonic scale and playing notes in it. Start off just playing the notes up and down then start going a little random and throw in some vibrato, held notes, etc.

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