Either everyone on this thread has amazing taste or my own taste isn't very discriminating (or both), because I like nearly everything mentioned so far. Here are some other songs I like a lot, a few of which I've alluded to before. A lot of them are a little off the beaten path, but they're all worth a listen. In no particular order --
50,000 Miles Beneath My Brain (Ten Years After)
You're Gonna Miss Me (13th Floor Elevators)
Teenage Kicks (The Undertones)
Nothing But A Heartache (Flirtations)
Pale Blue Eyes (Velvet Underground)
Once Bitten, Twice Shy (Ian Hunter)
Los Angeles (X)
Burning My Fingers (Shakespeares)
One of These Days (The Roosters)
Tin Soldier (Small Faces)
See Emily Play (Pink Floyd)
Dime A Dozen Romance (Steve Miller Band)
Blues Jumped The Rabbit (Karen Dalton)
I Can Only Give You Everything (Them)
Something in the Air (Thunderclap Newman)
I Can't Stand The Rain (Ann Peebles)
Vietnamese Baby (New York Dolls)
You Can't Put Your Arms Around A Memory (Johnny Thunders)
All Tomorrow's Parties (Nico)
Wheel's On Fire (Julie Driscoll & Brian Auger)
Sunshine Girl (The Parade)
Tiny Tears (Tindersticks)
Look On Down from the Bridge (Mazzy Star)
Whiskey in the Jar (Thin Lizzy)
I Never Loved Her (The Starfires)
Teenage Moondream (David Bowie)
Down to the River to Pray (Alison Krause)
Lights Out (UFO)
Too Far Out (The Impac)
Hey Joe (Patti Smith)
Sour Milk Sea (Jackie Lomax)
On Top of the World (John Mayall)
Waiting on the Wind (Spooky Tooth)
I Can Take You to the Sun (The Misunderstood)
Mistreated (The Groundhogs)
Sweet Jane (Cowboy Junkies)
Sad Dark Eyes (The Loved Ones)
Shine On (Humble Pie)
Ain't It Hard (The Gypsy Trips)
Amazing Grace (Blind Boys of Alabama)
Elemental Child (Tyrannosaurus Rex)
Heartbreak Hotel (Dax Riggs)
Two Headed Dog (Roky Erickson)
Train to Nowhere (Savoy Brown)
Dogs Are Talking (The Angels)
Thoughts And Words (The Byrds)
Take Me For A Little While (Evie Sands)
Feels Alright (Black Lips)
Have Love Will Travel (The Sonics)
Four in the Morning (The Sunshine Company)
Wars or Hands of Time (The Masters Apprentices)
Snakedriver (Jesus & Mary Chain)
Lost Johnny (Hawkwind)
There Must Be Thousands (The Quads)
Hurry Up John (Idle Race)
Are You Ready (Pacific Gas & Electric)