The Knack – My Sharona. The full length solo is awesome and it’s so much fun to play! Used to do it in the old cover band and everyone loved the solo which is unusual because most people in bars just want the rest of the song to carry back on 😆

Randy’s solo in Goodbye To Romance (either recorded or live) is always great.

Anything by Dime was incredible.

Love the solo in this as well

[video]http://www.youtube.com/watch?v=Jx2fp-kKOIw[/video]

QOTSA yes!! The solo from little sister then too.

Not really a solo:

[video]http://www.youtube.com/watch?v=AxKTzwaEa2o[/video]

Good times by the Roses

Great call on Nuno (always loved that every member of Extreme was noticably talented, except Paul Geary, who presumably owned a van.

Nils Lofgren has been mentioned, but here’s one of his songs, that I absolutely love to bits! The whole song has outstanding playing on it, almost one entire solo. Enjoy!
[video]http://www.youtube.com/watch?v=96-7KzO_O2I&sns=em[/video]

Santana – Oye Como Va

John Mayall & The Bluesbreakers with Clapton – Key To Love

Van Halen – Eruption

+1 to a lot of the Zep, Hendrix, Floyd, Neil, and SRV above.

One of my favorite guitar players is Lindsey Buckingham. The last song on the self titled Fleetwood Mac album is “I’m So Afraid.” Lots of great giitar solo time in that one! Give it a listen…

[video]http://www.youtube.com/watch?feature=player_detailpage&v=HPNGKZHRFSU[/video]

[video]http://www.youtube.com/watch?v=0EZjs58grbo[/video]

Oh, and he plays bluegrass style as well. No guitar pick.

Not technically brilliant like other suggestions, but full marks for composition IMHO.

Noel Gallagher for Live Forever & Importance of Being Earnest

I quite like Teppei Teranishi of Thrice…

[video]http://www.youtube.com/watch?v=1ycRI_Tti44[/video]

http://www.youtube.com/watch?v=ny924BJ5DfE