Do I have to spell it out? 
I love those songs, some of which are clearly parodying two or three Beatles songs at a time. For instance, the last verse of the “I Am the Walrus” parody, “Piggy in the Middle,” is also a parody of the first verse of “Happiness Is a Warm Gun.” Great stuff.
Do I have to spell it out?
C-H-E-E-S-E-A-N-D-O-N-I-O-N-S, oh no
Twisted minds think alike. 
The OP already got it in one with “Pop!”, although I’m also partial to the (apparently Cure-like) stylings of solo artist Robbie Hart, with his heartfelt rendition of “Song For Linda (Somebody Kill Me)”.
The song sung by George Clooney and his band in “Brother Where Art Thou”
“Sugar, Sugar” By The Archies
“Star Spangled Banner” By The Archies
I’ve never seen the movie, but Three Small Words is what every great rock song should be. I fricking love it.
I really liked Blame it on the Rain back in the day.
What? I think Milli Vanilli qualifies!
snerk!
I’ll second (third?) Tenacious D and their various goof-offs. Tribute was the first song I heard from them, and it’s still my favorite. I also like Kielbasa.
I love ya baby, but all I can think about is Kielbasa sausage!
Me too!
Not exactly my favorite, but Shape of Things to Come by Max Frost and the Troopers is a fine example of '60s youth revolt (or revolting '60s youth). It was featured in the movie “Wild In The Streets”, an hilariously bad counterculture film whose cast included Shelley Winters, Hal Holbrook playing the part of a U.S. Senator (didn’t he always?) and Richard Pryor as Stanley X. I have the LP put out under the name Max Frost and the Troopers, and the title cut has absolutely the worst, most primitive stereo sound ever recorded.
Other great Spinal Tap songs: Rainy Day Sun (the band’s attempt to one-up Sergeant Pepper), Christmas With The Devil, and the legendary heavy metal love song, Cash On Delivery:
So if you want a man that’s good and true,
Who’s gonna love you no matter what you do,
I’d look somewhere else if I were you…
Cash On Delivery
But when the deed is done and the lights are low,
You can count your gold in the afterglow;
Love’s like money, gotta spend it slow…
Who can forget Spinal Tap’s big comeback song, Tonight I’m Gonna Rock You Tonight?
“You’re sweet, but you’re just four feet
And you still got your baby teeth
You’re too young and I’m too well-hung
But tonight I’m gonna rock ya …”
Breaking Glass is about a fictitious New Wave band named “Breaking Glass.” The film features an incredible song, Eighth Day, performed by Hazel O’Connor. This song still gives me goosebumps.
YES that was hilarious and somehow it’s also pretty and catchy. We quite enjoyed that after the game.
Second vote for The Majesty of Rock by Spinal Tap.
Earache my Eye?
I like the New Main Street’s Singer’s version of Wanderin’ also. On the soundtrack (though I don’t think it’s in the movie) I love Mitch & Micki’s One More Time and the Folksmen’s Blood on the Coal (which like most of the Folksmen’s songs is so melodic it makes no difference that the song itself makes no sense).
There are loads of excellent songs from the Mighty Boosh, as well; I like ‘Eels’, ‘Electro Boy’, ‘Love Games’ and ‘I Took a Shit on your Mum,’ (can’t find a vid, but it’s from Journey to the Centre of the Punk’) among others.
One of my favorite movies. I caught it on TV recently, and I’ve been singing the songs to myself all week.
Did a youtube search for “Big Bottom.” Here it is, with at least a dozen bass players:
You’re braver than I am.