Have you checked Nanowar (of steel) which is parodic metal ?

fine young cannibals, wall of voodoo/stan ridgeway.

Devin Townsend

I don't know if its 'silly' but Health runs a phone number, a discord, and subjects Johnny to a bunch of miserable shit for laughs I guess.

Nerf Herder

No More Kings

Electric Callboy are very silly and produce excellent videos.

JBO, if you understand German.

Sparks. Best. Band. Ever.

Andrew WK

Until you listen harder.

Thank You Scientist are seriously talented musicians who make very complex music, but don't take themselves seriously and have fun with their performances.

Them being ska punk makes it an easy pick, but Russkaja has great covers and original songs.

How silly are you looking for? It doesn't get sillier than We Ran Out Of CD Space by PsychoStick... or anything else by psychostick. But there's also Ninja Sex Party, Wolves of Glendale, First of October (listen to Ravioli).

While not outright comedy, there's a humor to Falling for Me by Parker the Bandit and It's Okay to Punch Nazis by Cheap Perfume

Kendall Street Company

Estradasphere and Ween pop to mind

Here's one you never heard of - Gung Ho by Shaka Ponk

https://music.youtube.com/watch?v=eahh8Xb41u8&si=_-tKGTX4u2iaoqiL

Future Idiots.

Patent Pending.

Ween, Dead Milkmen, Gwar, Nomeansno, Hansen Brothers, Pink n Brown, Jesus Lizard, Moistboyz, Stormtroopers of Death.

Spinal tap

Macklemore

Somebody already recommended Primus so I have to come up with backup. And that is:

• Nuclear Power Trio
• Carnival in Coal
• Igorrr

Maybe Beck? Que’ Onda Guero always makes me giggle.

And, a bit of a different genre but Father John Misty’s songs are sarcastic and often nonsensical. They sound all romantic and dreamy but the lyrics don’t always match the vibe.

The Aquabats

Angus McSix (formerly Angus McFife of Gloryhammer) is a hoot.

I only know a couple singles, but I get the sense Primus is pretty wacky

Freak Kitchen, and their front man, now solo artist, Matthias IA Eklundh.