How about this?

VIENNESE DRINKING SONG by Camille West

Oh wherever we go there's id and there's ego
The conflicts we never outgrow
Anxiety's built on repression and guilt
Ask any good Catholic, you know
There are feelings inside that are felt and denied
Then in trying to hide them we find
That the ones we express are the ones we repress
And they tell me it's all in my mind

Chorus: And we sing yah yah yah yah
So many things to avoid (last time - sometimes I'm slightly annoyed)
And we sing yah yah yah yah
The gospel according to Freud

One day my kid came to me straight from his therapy
Used to be strictly Gestalt
He said I'm not complaining but my toilet training
Was rough, so you're really at fault
Perhaps if I'd waited he'd not be fixated
I wish that I'd made it a game
But I owe an apology, thank you psychology
It's my fault the kid is insane

Chorus

Our sons want to marry us, Freud says the Oedipus
Complex is strong and it's real
These boys cause a ruckus, they all want to
Shall we say feel what they ought not to feel
Between father and son there's a war to be won
Over mama's affectionate glance
Says pop to his kid, "What's this crap about id?
Keep your impulses inside your pants."

Chorus

And ladies, between us, we envy the penis
Says Freud, it's our major drawback
Thus all our neuroses and sometimes psychoses
Begin over something we lack
And so men's exterior makes them superior
Freud says our envy is moot
But I must disagree, cause according to me
The zucchini's a great substitute

Also, some friends of mine wrote a parody of the song from The Wizard of Oz "If I only had a..." about penis envy.