I didn’t see anybody mention Raindrops Keep Falling on My Head. I could have missed it though.
I am Kloot “Storm Warning”
The Heavenly States “Light Dressed Storm”
Katy Rose “Watching The Rain”
Ringside “Raining Next Door”
Los Bunkers “Llueve Sobre La Ciudad” (the video kind of sucks. From the lyrics I thought it would show some half-crazed guy walking in the rain. Qué lástima.)
“Let it Snow”
I know it’s been mentioned but Neil Young’s “Like a Hurricane” has a special place in my heart & I don’t want it overlooked.
The Forecast Calls for Pain by Robert Cray
“Hear approaching thunder
I can feel a chill run up my spine.
I’ve seen love freeze before,
and I know that I’m on borrowed time.
<snip>
My baby’s turnin’ cold,
and the forecast calls for pain.”
I can’t believe it’s page 3 and no one has “Jacob’s Ladder” by Rush. It was the first song that popped into my head on reading the OP …
“The clouds prepare for battle
In the dark and brooding silence …”
The William Tell Overture by Rossini. The short is called “The Band Concert.”
I’ll add:
"Lullaby for a Stormy Night" by Vienna Teng
“A Lighthouse’s Tale” by Nickel Creek
“Hurricane Eye” by Paul Simon
I rapid-skimmed and didn’t see it…
Jethro Tull’s Stormwatch has a bunch of saltspraying stormy weather maritime songs in it.