Rancid – Tough call. “Olympia, WA”, “Brad Logan” or “Roots Radicals”
Rollins Band – “Low Self Opinion”. No question.
Ween – “LMLYP”, anything off of The Mollusk, “The Homo Rainbow” or “The HIV Song”
Rocket From The Crypt – “Born In '69” or “Glazed”
Rev. Horton Heat – “Liquor, Beer and Wine” or any song about Jimbo
Atari Teenage Riot – “Sick To Death”, the only song that has ever scared the hell out of me
They Might Be Giants – “Dr. Worm”, “The End of The Tour”, “I Palindrome I”, “See The Constellation” or the entire Flood album
Daniel Johnston – “Casper”, “Casper the Friendly Ghost” or “Lousy Weekend”
Frank Black – “Los Angeles” or “Headache”
The Pixies – I’d go with “Debaser”, but anything would be good.
The Beetles – “Letter B” (trust me on this one)
NWA – “Fuck Tha Police”
Belle and Sebastian – “This Is Just a Modern Rock Song” or “The Boy with the Arab Strap”. Fans more hardcore than I will disagree.
Beatallica – “The Thing That Should Not Let It Be”
Operation Ivy – “Knowledge”. Maybe “No More Bad Times”. Nah. “Knowledge” is the one.
Tom Waits – “Innocent When You Dream”
Public Enemy – “Fight The Power”
Public Enemy and Anthrax – “Bring The Noise” 
The Dixie Cups – “Iko Iko”. AFAIK, the only minimalist song to hit the Top 40
The Shangri-Las – “(Remember) Walking in The Sand”
The Jaynettes – “Sally Go 'Round the Roses”. Good GOD, what a great song.
Ike and Tina Turner – “River Deep, Mountain High”. Phil Spector’s Best. Work. Ever.
Radiohead – Pre-OK Computer: “Fake Plastic Trees” or “Just”. Post-OK Computer: “Paranoid Android”, or “No Surprises”
Strong Bad – “Everybody To The Limit” or “Techno”