Oh man, I remember that one from the 50s. Slip the juice to me, Bruce.
Mama Looka Booboo, Harry Belafonte
Lots of Tom Lehrer, Allen Sherman, and Weird Al tunes qualify. But I really like The Elements Song:
His New Math is a close second
I remember this. I thought it was The Waitresses.
Does anyone remember the song that was a reporter asking questions and the answers were song snippets? I think there may have been a series of them. Oh and how about Stars on 45? Oh, and Shut uppa you face!
This post is an example of opening a thread, pressing quick reply, going to make a sandwich and then answering. Don’t do this. It makes you look dumb.
Groucho doing Lydia, the Tattooed Lady"
“She has eyes that men adore so,
And a torso even more so!”
My Ding-A-Ling by Chuck Berry.
I had to stop watching that because I was laughing so hard.
It reminds me of “The Song That Goes Like This” from Spamalot.
I could never pick a favorite, but one I always remember fondly is: “Spliceway to Heaven”.
Wet Dream
Fish Heads
It’s been awhile since I listened to Dr Demento.
A lot of Voltaire’s songs straddle the line between novelty and filling. 
Same here. No clear favorites
A throw-in.
Wet Dreams by Kip Addotta
Werecow. From Dr. Demento. I'm A Werecow - YouTube
Dead Skunk. Dead Skunk - YouTube
Dar Williams “The pointless, yet poignant, crisis of a co-ed” is a hoot.
Junk Food Junkie by Larry Groce
No love for Ray Stevens? Mississippi Squirrel Revival? the Streak? Ahab the Arab? Gitarzan?
ZZ Top TV Dinners
Wow, what is that saying “too late and a dollar short”
My number one novelty song was mentioned in post #2.
I remember that from college; so many fools chanting “ha ha hoo hoo”
Bowser and Blue’s Colorectal surgeon song