Some of my favorite songs are......

Here's my list, OTTOMH:

Rolling Stones - "Gimme Shelter"
Janis Joplin - "Me and Bobby McGee"
Crosby, Stills and Nash - "Suite: Judy Blue Eyes"
Dire Straits - "Fade to Black"
Alan Parsons Project - "Shadow of a Lonely Man"
Pink Floyd - "Comfortably Numb"
Blossom Dearie - "Someone to Watch Over Me"
Paul McCartney - "Maybe I'm Amazed"
Loreena McKennitt - "Bonnie Portmore"
Stevie Ray Vaughn - "Little Wing"
Mott the Hoople - "All the Young Dudes"
Fleetwood Mac - "Oh Well"
Blind Faith - "Can't Find My Way Home"
Derek and the Dominos - "Bell Bottom Blues"
Traffic - "The Low Spark of High Heeled Boys"
Led Zeppelin - "Thank You"
Chicago - "Beginning"
The Band - "Stage Fright"
John Lennon - "Watching the Wheels"
Steely Dan - "Hey Nineteen"
Talking Heads - "Burning Down the House"
Mannfred Man - "Blinded by the Light"

Plenty more, but I'll stop there.

Thirty years ago,(pre-hopeless case days) picking a few favorites would have probably been easy, so here's some pre 73' stuff:
Instrumental:
Walk Don't Run-The Ventures
Pali Gap-Jimi Hendrix
In Memory Of Elizibeth Reed-Allman Bros.
Pigling Bland-Soft Machine
Big Swifty-Frank Zappa

Ones w/singers on em':
Last Days Of May-Blue Oyster Cult
Eighteen-Alice Cooper
Monkey Man-Stones
Like A Hurricane-Neil Young
Kandy Korn-Captain Beefheart

PS- Buscis, this one isn't as amputational as your guitarist thread, but, you still oughtta' be flogged.

All Blues (Miles Davis)
It's Your Thing (Isley Brothers)
A Love Supreme (John Coltrane)
What Is This Thing Cold Love (Cole Porter)
Mastercharge (Albert Collins)
Stone Crazy (Buddy Guy)
Work (Monk)
You've Got To Funkafize (Tower of Power)
A Real Mother For Ya (Johnny "Guitar" Watson)
Carmen (Georges Bizet)
Elevator Man (Oingo Boingo)
Gloria's Step (Bill Evans)
Mercy, Mercy, Mercy (Joe Zawinul)
Don't Worry, Be Happy (Bobby McFerrin)--Ha Ha! Just kidding ^_^

All Along The Watchtower - Hendrix
Any Major Dude - Steely Dan
You Got The Siver - Stones
Needle & The Damage Done - Neil Young
Waterloo Sunset - Kinks

If limited to only five today

Buscis2,
Great thread! Here are a few of mine, in no order:

Bob Dylan "Lily, Rosemary and the Jack of Hearts"
Grateful Dead: "Help on the Way>Slipknot!>Franklin's Tower"
Phish "Split Open and Melt"
Jerry Douglas "Boy Who Wouldn't Hoe Corn"
Pink Floyd "Shine On You Crazy Diamond"
Tangerine Dream "Rubycon"
Dave Matthews Band "Two Step" (Live)
James Taylor/Jerry Douglas "The Suit"
Joni Mitchell "Refuge of the Roads"
Allman Brothers Band "High Falls"
Allman Brothers Band "You Don't Love Me"
Grateful Dead "Dark Star"
Led Zeppelin "Achilles Last Stand"
Grateful Dead w/ Bruce Hornsby "Apollo At The Ritz"
Patricia Barber "Let it Rain"
Roxy Music "The Main Thing"
Emerson Lake and Palmer "Lucky Man"
Yes "And You And I"
Crosby Stills and Nash "Suite: Judy Blue Eyes"
Santana "Evil Ways"
Jefferson Starship "The Baby Tree"