Here are three of mine:
Boss Progress of Elimination
video Boss - Progress Of Elimination - YouTube
Red Hot Chili Peppers Otherside
Deep Purple Knocking at Your Back Door
Are these “Songs you like to listen to when already drunk” Or “songs that make you feel like you should take a drink”?
Assuming the former, that would include:
King Ink by The Birthday Party
Beautiful Child by Swans and
Z.N.S. by Einsturzende Neubauten
Assuming the latter, that’s be such stuff as
Fiesta by The Pogues,
Blue Bell Knoll by The Cocteau Twins and
(When You Wake) You’re Still In A Dream by My Bloody Valentine.
Apparently, I’m a nasty drunk, but a happy drinker…
Too drunk to fuck- the dead Kennedy’s
Beer - the asylum street spankers
Scotch & soda - the Kingsmen trio?
This has been my earworm for a couple days now. S.O.B. Nathaniel Rateliff and the Night Sweats.
The Fairytale of New York by the Pogues.
Cold Beverages by G. Love.
Old school stuff, sorry -
“My Head Hurts” ("…My Feet Stink, and I Don’t Love Jesus") - Jimmy Buffett
“One Bourbon, One Scotch, One Beer” - either JLH or George Thorogood
“Jockey Full of Bourbon” - Tom Waits (one of many…)
Which, amusingly, is my 15,150th post… so 5150 it is.
Gotta listen to country music when you’re drunk:
Hank Jr. - Whiskey Bent and Hell Bound
Hank III - Gettin Drunk and Falling Down
And as Amateur Barbarian says, George Throgood - One Bourbon, One Scotch, One Beer
After working DJ duties for many Country parties weddings etc it seems like this song is the pinnacle of drunk country sing-alongs
David Allen Coe - You Never Even Called Me by My Name
What always amazed me was that in most requests for this song the requester never called the song by it’s name. “Hey Mr DJ, will you play ‘You Don’t have to call me Darlin, Darlin’”?
Definitely a great one, even if it’s satirical.
Another song in the same vein: Jerry Jeff Walker - Up Against the Wall Redneck Mother
Or how about songs by people who sound like they’re drunk? I guess that would include just about anything by Dean Martin, Tom Waits, and Lucinda Williams.
Or songs that sound like they’re being performed at a party with a lot of drunk people? (Beach Boys’ “Barbara Ann”, Delaney & Bonnie’s “Never Ending Song of Love”, “Here Comes My Baby” by the Tremeloes)
Drinking songs? Lots of good ones have already been mentioned; I’ll add “Hey Bartender” by Floyd Dixon, “Gimme That Wine” by Lambert, Hendricks & Ross, and “Drinkin’ Wine Spo-De-O-Dee” by Stick McGee. Hoy! Hoy!
A couple by The Who–Whiskey Man and However Much I Booze.
That’s been one of mine lately, too - good song, and right up this thread’s alley.
From back in the day, I’ll add “Why Don’t We Get Drunk (and screw)” by Jimmy Buffett.
Before: Usher feat. Ludacris and Lil’ Jon, “Yeah!”
During: NOFX, “The Brews”
After: The Replacements, “Here Comes A Regular”
.
Smoke Two Joints (Norman Nardini cover)
Mr Johnny Cash doing Cocaine Blues
Smokie - Who the Fuck is Alice
The greatest drinking song ever
I know I already posted three, but may I throw in some more, please? 
The first three songs on The Pogues’ If I Should Fall From Grace With God are pretty much the apex of rowdy rock-influenced Irish folk music. And then the fourth track is their best-known track, “Fairytale of New York.”
Even though it’s about weed, not booze, Afroman’s “Because I Got High” is one of the best drunk group singalong songs I’ve ever heard.
Tubthumping, as sung by Homer Simpson
I get knocked down, I get knocked down again,
You’re never gonna knock me down!
I take a whisky drink, I take a chocolate drink,
And when I have to pee, I use the kitchen sink!
I sing the song that reminds me I’m a urinating guy!
Oh, hell yes. I haven’t thought of this song in years, but I remember the whole bar screaming that refrain (if anyone isn’t familiar, it’s actually called Living Next Door to Alice. So fun.
Phil Collins’ “In the Air Tonight”, or rather, the short part before all the rest of the instruments join in. There was a shushi restuarant on the beach in SoCal that would play loud music all night while people were getting wasted on sake and whatnot and everyone would be in their own drunken conversation but when that part came on everyone “played” the drum part with their chopsticks, knocking their shot glass or whatever on the table for the last two beats. I’m sure the same sort of thing happened / happens in lots of places when that song is played. Oddly, I love Phil Collins, and I love that memory, but I generally skip this song as I find it pretty boring otherwise.
A cheesy example is Garth Brooks’ Friends in Low Places.. I’m not ashamed to say I think it’s a pretty fun song in it’s own right and having it come on in a bar can pep up an otherwise boring night.
Tom Paxton’s Bottle of Wine (later covered fantastically by The Fireballs), Nancy Sinatra and Lee Hazlewood’s Summer Wine, and Tommy James & the Shondells Sweet Cherry Wine.
Can you tell I used to be a wino?
When the purpose of drinking is to become powerful and crush all your problems in your mighty fist (for the evening at least):
It’s a supercharged rewrite of a Mississippi Fred McDowell song, and it sounds triumphant as fuck when you’re five or six beers in.
Ninja’d on this one and Tom Paxton. So, I’ll just add How Happy I Am
[Disclaimer: I am a teetotaler]