Billy Bragg, “January Song”: “Turn around and taste tomorrow, this is where the end begins.”
The Decemberists, “January Hymn”
Gilbert O’Sullivan, “January Girl”
Goo Goo Dolls, “January Friend”
Pilot, “January.” (Yep, the “wo-ho-ho it’s magic” band.)
Elton John, “January”
Tori Amos, “Black Dove (January)”
Barbara Dickson, “January February.” Scottish Streisandian pop singer.
Jill Sobule, “Manhattan in January” (a protest song about global warming)
The Twilight Sad, “Last January.”

There’s also this poem, “One Third of the Calendar,” by Ogden Nash:

In January everything freezes.
We have two children. Both are she’ses.
This is our January rule:
One girl in bed, and one in school.

In February the blizzard whirls.
We own a pair of little girls.
Blessings upon of each the head—
The one in school and the one in bed.

March is the month of cringe and bluster.
Each of our children has a sister.
They cling together like Hansel and Gretel,
With their noses glued to the benzoin kettle.

April is made of impetuous waters
And doctors looking down throats of daughters.
If we had a son too, and a thoroughbred,
We’d have a horse,
And a boy,
And two girls
In bed.