The Funny Moment is probably, from "Rainbow Tour":
Eva: Did you hear that? They called me a whore! They actually called me a whore!
Admiral: But, signora Peron, it's an easy mistake- I'm still called an admiral- yet I gave up the sea long ago!
Rainbow Tour actually has several subjectively funny moments.
"More bad news from Rome, she met with the Pope...she only got a rosary, a kindly word! I wouldn't say the holy father gave her the bird...but Papal decorations, never a hope!
"Italy's unconvinced by Argentine glory/They equate Peron with Mussolini - can't think why!"
"Tired? Eva? Tired?"
"Good Night and Thank You" has a few:
Eva: Oh, but it's sad when a love affair dies/The parting, the closing of doors/But we should be honest, stop fooling ourselves..."
Che: ...which means "Up yours"!
Eva: Oh, but it's sad when a love affair dies/But when we were hot, we were hot!/I know you'll look back on the good times we shared...
Che: ...but Eva will not!
Eva: Oh, but it's sad when a love affair dies/The decline into silence and doubt/Our passion was just too intense to survive—"
Che: For God's sake, get out!
One especially amusing moment is during a later stanza of the song in which several of Eva's exes are collectively singing their woes of being tossed aside, and Che, as a busboy in a restaurant, briefly stands with them, resting his forearm on the shoulder of one of her exes, and joins them to sing "Oh but it's sad when a love-affair dies" with an expression as smarmyas it is utterly narmy before shooing them all out and closing the French-doors behind the dismissed exes before turning to fold his arms and look at the camera.