I noticed that there's a document on the Futurama Chronicles (http://frcr.com/library/lyrics.html) that seems to want to be similar to the page at http://snpp.com/guides/music.html which does the same thing for "The Simpsons", namely, detailing all the modern pop songs that have been played, sung, or referenced on the show. The Futurama page, however (which also lists song lyrics for "Robot Hell" and "Wailers on the Moon"), is unfortunately out of date and incomplete. So I decided to help by listing song references that aren't acknowledged on FRCR's page. I realize that the FRCR maintainers are probably busy with work, school, and all those things that socible people do, so if it's alright with Dave Sweatt, Jordan, and crew I'll mirror an updated copy of the page on my Geocities website, and you can just upload it whenever you have time.
Put Your Head on my Shoulder, Paul Anka, 1958 [2ACV06] Episode title a spoof
White Rabbit, Jefferson Airplane, 1967 [2ACV03] Nixon sings "Remember what the dormouse said / Feed your head!"
I Second That Emotion, Smokey Robinson and the Miracles, 1964 [2ACV01] Used as episode title
Iron Lion Zion, Bob Marley, 197? [2ACV04] Hermes says, "Sweet lion of Zion!"
Funkytown, Lipps Inc., 1980 [2ACV15] Hermes asks, "Where in Funkytown is the Professor?"
So Whatcha Want, Beastie Boys, 1992 [1ACV09] "That's whatcha, whatcha, whatcha get on level 5!"
Fear of a Black Planet, Public Enemy, 1990 [1ACV05] Episode title a spoof
Iron Man, Black Sabbath, 1971 [2ACV16] Played as Bender flies to Earth
MMMBop, Hanson, 1997 [2ACV16] Played while Bender and Fry are in the park
Atlantis, Donovan, 1968 [2ACV12] Background music and narration in the Chamber of Commerce video spoofs it; also played while Fry and Umbriel cavort
Daisy Bell, Harry Dacre, 1892 [2ACV09] Episode title spoofs the chorus ("...but you'll look sweet / upon the seat / of a bicycle built for two")
Shout, Otis Day and the Knights, 1962 [1ACV11] Played at the end of the episode, in reference to Animal House
Brain Damage, Pink Floyd, 1973 [1ACV03] Fry says he wants to see the dark side of the moon (which, of course, was also the title of the album the song was from)