I'll start with one.  Little Village.
 

Big Big Train;
 

Rush
U2
(This could be a long list!)

Ok, ok...  I'll go with Oingo Boingo. 
 

Since you used plurals I'll throw out Alan Parsons Project & Steely Dan.
I still play some of their songs when I'm practicing or jamming with myself.
 
Carry on....

Quaz, when I'm "jamming" with myself I prefer to listen to "I'm Turning Japanese".
 
 
 
 
TMI?

http://www.youtube.com/watch?v=RJX-PRmmiJ8
 
Yup... loves me some Danny Elfman and Boingo.  Best cover evah of a Kinks tune.
 
Thanks for reminding me!

Hey Bapu....
If you're playing that tune you're a far more accomplished musician than myself. :)
 
('TMI'?...I've got to get out more).
 
Happy Friday all....I'm retired so every day is Saturday.
 
Carry on....

Heh, I completely forgot until now that I'm a member of Steve Bartek's personal forum.  A guy I used to work with was Elfman's best friend (they both lived in Malibu and loved B movies).  The funny part was that he hated Oingo Boingo's music but was able to get me tickets to their famous Halloween shows down in Irvine Ca.  We sat right in the front next to his wife and kid.  Damn those were fun...

Rush will top my list. There are a number songs that are not my favorites, but overall, I love watching and hearing these guys play.
 
Joe Satriani is on there, too. Even though I'm not a guitarist, I can appreciate his artistry and technique. A friend of mine described Joe's music as "singing with a guitar." I think that sums it up pretty well.
 
Dream Theater is up there, even though I'm not a die hard fan. Their stuff is very complex and technically brilliant, but sometimes the musicality suffers. I really like their new drummer, though. Mike Mangini is fantastic.
 
Going back, I'd include Kansas, Bad Company, Led Zeppelin, Heart, Boston (1st album), Aerosmith ('70's), Devo (they amuse me), some Uriah Heep, Saga, Shooting Star, Jimi Hendrix, Stevie Ray Vaughn, ZZ Top, and others I can't recall right now.
 
Yeah, I know the list is overly populated with artists from the late '60's through the 70's. To my credit, some of them are still making music today. (Okay, not many, but still...)
 
I'm sure there are more, but those are the ones that raced to the forefront of my mind to get a good seat.