Please format it thusly:
1954. “The worst thing in 1954 was the bikini” – I Found That Essence Rare by Gang of Four.
Jump in early to grab the low-hanging fruit!
mmm
1968: “Snoopy for President” by the Royal Guardsmen.
~VOW
4545 In the year 4545 you ain’t gonna need your teeth. – In The Year 2525, Zager and Evans.
“Sexcrime (Nineteen Eighty-Four)” by The Eurythmics.
From a very underrated and uncommon album, 1984.
“1999”, Prince
Oh, what a night, late December back in '63
December, 1963 (Oh What a Night)
Four Seasons
1814 -* Battle of New Orleans* Johnny Horton
1969 - “We haven’t had that spirit here since 1969” - Hotel California, Eagles
Would link to YouTube clips for the songs but you can easily search for them if you don’t know then.
Smashing Pumpkins, “1979”: Shakedown, 1979 - cool kids never have the time…
Neon Trees, “1983”: *1983 is calling, I’ve been on my knees and crawling b**ack to you, it’s coming all back to me - 1983
*
Bryan Adams, “The Summer of '69”: pretty much the whole song 
Neil Young, “After The Gold Rush”: *Look at Mother Nature on the run in the 1970s. *(which I used to hear as “in 1970.”)
Many classic rap songs feature a shout-out to the year they were made, to sound hip and current at the time… Like Public Enemy’s “Fight The Power” (“1989 - the number, another summer…”)
Wow, you people suck at following directions! 
I assume mmm wanted
YEAR. “Song lyric that mentions that year.” Song Title by Artist.
1934. “On the last day of June, 1934” – The Last Day of June 1934 [duh] by Al Stewart.
1949. “She had a picture of a cowboy tattooed on her spine, saying Phoenix Arizona 1949” – Little Egypt by The Coasters.
1956. “I said I’ve been this way since 1956” – Love Potion #9 by The Clovers.
1967. “1967, it seems so long ago” – 1967 by Tom Robinson.
1974. “Well there’s a real square cat, he looks like 1974” – Rock This Town by Stray Cats.
1965: In '65 I was 17. . .; Running On Empty, Jackson Browne
1969: In '69 I was 21. . .; ditto
1934: I got a '34 wagon and they call it a woody; Surf City, Jan & Dean
There’s a whole bunch from Al Stewart’s album Past, Present and Future, including:
1853: “It was on the old Calcutta in 1853” (“Old Admirals”)
1921: “Watching the sun come up in the morning of 1921” (“Warren Harding”)
1934: “On the last day of June 1934” (“The Last Day of June 1934”)
1959: “1959 was a very strange time” (“Post-World War Two Blues”)
1969 - "It’s 1969 okay all across the USA " - Stooges
1969 -“Soixant’neuf année érotique” - Serge Gainsbourg
1963 - “es el verano del 63, el orgullo de don andres por ser varon” - El Gran Varon, Willie Colon
A lot of '69s out there
More from my mental jukebox:
Wilson Picket - “Mustang Sally”: I bought you a brand new Mustang, a 1965 (huh!)
Steely Dan - “Hey Nineten”: Way back when, in '67, I was the dandy of Gamma Chi…
The hit from a few years back by (I had to look the artists up) Bowling For Soup, “(She’s Still Preoccupied With) 1985”
There are a few song titles with a year in them (to set a context) that don’t actually mention them in the song lyrics; I guess they don’t count. Like Billy Joel’s “Miami 2017 (Seen The Lights Go Out On Broadway)”, or Jimi Hendrix’ “1983 (A Merman I Should Turn To Be…)”.
1985. “She’s still preoccupied with nineteen, nineteen, nineteen eight five.” - 1985 by Bowling for Soup
Fine, if this is being scraped and parsed I may as well put it in tab-delimited, CSV or XML format
But OK - to retro-fit my entries in chron order, and DQ’ing “After the Gold Rush” because the actual lyrics only say “the 1970s” and not “in 1970” like I’d thought:
1965: “I bought you a brand new Mustang, a 1965 (huh!)”, “Mustang Sally” by Wilson Pickett.
1967: “Way back when, in '67, I was the dandy of Gamma Chi…”, “Hey Nineteen” by Steely Dan.
1969: “It was the summer of '69”, “The Summer of '69”, by Bryan Adams.
1983: “1983 is calling I’ve been on my knees and crawling back to you…”, “1983” by Neon Trees.
1985: “She’s still preoccupied with 1985”, “1985”, by Bowling For Soup.
1989: “1989 - a number, another summer”, “Fight The Power”, by Public Enemy.
1996. “She slit her wrists for attention in 1996” - Metal Now by Say Anything
1939 “And she’s laughing, laughing into 1939” Al Stewart, Between the Wars.
Also, the somewhat less specific, Year of the Cat.
(trying again)
1968: “The time had come in '68, to elect a president…” Snoopy for President, Royal Guardsmen
Is that okay now?
~VOW