And anything by 88mm.
“The Battle of New Orleans”-- I think that’s it’s title.
You know, the one that starts with " in 1814 I took a little trip"
And has a verse about “we fired our cannon till the barrel melted down, then we grabbed an alligator and we poured another round”
The Mexican hip-hop group Control Machete’s big album (with the songs that were in Amores Perros and the Levi’s commercial) was called Artilleria Pasada, which means “heavy artillery” and has a title track by the same name. I’m guessing the song isn’t literally about heavy artillery, but I couldn’t tell you what the cultural reference is. Image searching for “artilleria pasada” also isn’t exactly safe for work.
Here’s an Army Cadence I used to sing when I was in the field artillery:
“Oh hail, oh hail artillery!
King Of Battle fight with me
oh hail, oh hail artillery!
nothing in the world is free.
If I should die in a combat zone
box me up and send me home”
Which is a bastardization of the 101st Airborne cadence, seen here: King of Battle (101st Airborne Version) - Army Education Benefits Blog
Hey, a cadence is a song!
You could try Curved Air’s Vivaldi (with cannons). It’s on their debut lp with somewhat more cannon-like noises but either of these is pretty good. The first one’s sound is a bit closer to the studio version.
Just remembered another one : Rammstein’s* Feuer Frei*. Not specifically about artillery (it just means “fire at will”), but it sure sounds like a 105mm battery is going off 
[QUOTE=Snowboarder Bo]
For songs about war and anything related to war, always remember Bolt Thrower
[/QUOTE]
The one and only Warhammer 40k gimmick metal band. Which is surprising honestly, because WH40k is about as mëtäl as it gets, as a setting.
(link, edit is giving me crap)
Cows with Guns mentions an Uzi, which makes me feel that the remainder of their guns were artillery pieces, otherwise surely they would have said rifles. Clearly the makers of the video clip disagree, and are wrong.
Also any songs referencing Barbara would have been understood by old artillerists to be referring to their patron saint.
The British Grenadiers is (obviously) about grenadiers, and is the regimental quick march of, among others, the Royal Artillery.
ETA: I linked to the Wiki (sorry) but for heaven’s sake don’t listen to the ridiculous version they’ve got as their sound clip. It’s the worst thing I’ve ever heard. Try a youtube of the Trooping of the Colour instead.
Warren Zevon - Roland the Headless Thompson Gunner
Clash - Tommy Gun
That’s the point of the verse. The Antelope lists to port, her sails are in tatters, and they made it from Halifax to Jamaica by “pumping like madmen” all the way. Not exactly the finest ship in the fleet. In the first battle, the Antelope’s guns don’t even make a dent in the yankee ship, but the yankee’s shot takes off both the narrator’s legs, bringing his naval career to an abrupt end.
Damn them all, I was told
We’d cruise the seas for American gold.
We’d fire no guns, shed no tears,
But I’m a broken man on a Halifax pier,
The last of Barrett’s privateers.
I think this is why the OP listed it, but when you like at the translated lyrics it’s not about artillery at all. It’s a great scene in a great documentary series though.