I Dream of Jeany (with the light brown hair).
“Sometimes I Dream” - Mario Frangoulis
Also:
–“Enter Sandman” by Metallica
–“Dreams” by the Allman Brothers
“Strange Deja Vu” by Dream Theater.
Can a cartoon song make the list? There’s an old Bugs Bunny cartoon where he is dreamily languishing in a small sailboat(?) that is slowly spiraling upwards through the clouds. While doing so, he’s singing these lines:
“Someone’s rocking my dreamboat,
Someone’s invading my dreams…”
Don’t know if it was a standard of the time, or written expressly for that cartoon.
Human League- Together in Electric Dreams
“(This is) The Dream of Evan and Chan” by Dntel
River of Dreams - Billy Joel
Silent Lucidity - Queensryche
Dream…LOVE Album: Four Sail
“Can’t Sleep, Clowns Will Eat Me”
“Lullaby”
“Respect For the Sleepers”
“Wake Me Gently”
“Welcome To My Nightmare”
“Caught In A Dream”
“Big Apple Dreamin’”
“The Awakening”
All by Alice Cooper. Anyone wanna guess zoogirl’s favorite band? 
Hey, deja vu. Didn’t we just do this a few weeks ago? I’m sure I remember making the same list.
Thought so!
http:/boards.straightdope.com/sdmb/showthread.php?t=288985
I missed one, “Didn’t We Meet”, by Alice, of course!
Husker Du - Reoccurring Dreams; The Tooth Fairy And The Princess, both from Zen Arcade
The Everly Brothers - All I Have To Do Is Dream
The La’s - I Can’t Sleep
The Beatles - I’m So Tired
Elvis Costello - Sleep Of The Just
The Smiths - Asleep
Blondie - Dreaming