Asklemmy

Nobody mentioned steel panther yet. Quality stuff

There is a lot of hip hop that fits this idea of great music with wacky lyrics.

Megan thee stallion, cardi b, and the like sing some raunchy songs.

Bbno$, yung gravy, lil dicky, flynt flossy and the entire turquoise jeep records collection of artists are humor-forward

Then theres czarface which has made many albums all about comic book characters.

Svinkels, Stupeflip, MC Frontalot

Sparks. Best. Band. Ever.

if ska counts, reel big fish

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.

fine young cannibals, wall of voodoo/stan ridgeway.

Electric Callboy are very silly and produce excellent videos.

JBO, if you understand German.

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.

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

Devin Townsend

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

Estradasphere and Ween pop to mind

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

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

TENACIOUS D! I unironically listen to their first album a lot lol. Weird Al, obviously. Suburban Lawns, the Aquabats, Reel Big Fish, Green Day (the album Dookie in particular), Presidents of the United States of America, Primus, Mr. Bungle, the Adicts, the King Kahn & BBQ Show, Nobunny, Weedeater, Spazz, Gravy Train!!!, the Pixies, GWAR, King Diamond, Busdriver, MF Doom, Talking Heads

Your mileage may vary with some of these; some don't mean to have a funny shtick but I just find them funny personally

Andrew WK

Until you listen harder.

Spinal tap

Kendall Street Company

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

Macklemore

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

• Nuclear Power Trio
• Carnival in Coal
• Igorrr

The Aquabats

Future Idiots.

Patent Pending.

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

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