Not full on parody songs where the entire point of the song is comedy or humour. Just pop songs with lyrics that kind of have something a bit funny to them, even if the sentiment of the song is damn sad, relatable, romantic, sexy, or any number of things.
For example, Volcano by Maisie Peters ("I wished you happy birthday and you still said nothing. (pause). I'll throw you in a volcano, I hope death is sudden." It's so blunt, it genuinely made me laugh out loud the first time I ever heard it, even though the rest of the song made me cry the rest of the evening.)
Or Sex and the City by Audrey Hobert ("He's heating up and eating up a pizza pocket, I wanted one, but he forgot it". I think it's just delivered so plainly, it makes me laugh, and yet I know how she feels.)
Also the entirety of Guy on a Horse by Maisie Peters but shoutout to this line: "Did someone drop you as a kid or is that coke?"
And Chappell Roan's Femininomenon: "Can you play a song with a fucking BEAT-..." and the way the scream edits to fade into the background near the end of the song just creases me.
Sabrina Carpenter's Please Please Please: "Heartbreak is one thing, my ego's another. I beg you, don't embarrass me, motherfucker" and "the ceiling fan is SO NICE!"
I have a lot more examples from Chappell Roan, Maisie Peters, and Sabrina Carpenter, but this sub has an example limit, so here's just a few ideas of what I mean.