This is one of my favorite songs currently. The recording I have is by Chick Bullock's Levee Loungers. Here are the chords that came from a Jazz fake book a friend has:

ANNIE DOESN'T LIVE HERE ANYMORE
Words by Joe Young and Johnny Burke, music by Harold Spina
c 1933, Irving Berlin, Inc., New York City

         Em           B/D#          Dm   /  G7
Here's a tragedy that happened on a side street,
G7+    C              Cm                    G Ddim D7
When a fellow went to ring his sweetheart's bell.
G  Am7-5               D7            G        Dm      E7
He saw the shades were drawn, and he knew his gal was gone,
        A7/E            Cm/Eb        Am7/D    D7     G     A7
When he listened to the story that a neighbor had to tell. Oh,

Chorus:
A7            D7            G
Annie doesn't live here, anymore,
C               G7             C
You must be the one she waited for.
G                G#dim          Am            D7
She said I would know you by the blue in your eye,
G                 G#dim          Am        D7
Checkered suit, a fancy vest and polka-dot tie.
    Dm7              G7              C                     Am
You answer to that description, so I guess that you're the guy.
Ab7   A7            D7           G    G9 G#9
Well, Annie doesn't live here anymore.

A7            D7            G
Annie doesn't live here, anymore.
C               G7             C
It's too bad you didn't call before.
G                 G#dim               Am        D7
She just bought a gown that ties with ribbons above,
G                  G#dim          Am           D7
Brand new shoes, a pretty hat and latest style glove.
    Dm7                G7               C                Am
She really looked so alluring, and just waiting for your love,
Ab7 A7            D7           G    Bb7
But Annie doesn't live here anymore.   It was

Eb                               Edim
Spring, there was romance in the air,
         Fm7   Bb7        Fm7              Bb7
And everything seemed for loving hearts to share,
              G    Bm/D    G      G#dim  Dm6     D7        Am7
And there was she, just as lonely and as blue as she could be;
           Am7/D D7+
That's the rea - son,

A7            D7            G
Annie doesn't live here, anymore.
C               G7                    C
Might have been your picture that she tore,
G               G#dim            Am      D7
She was, oh, so faithful, what a pitiful sight.
G              G#dim           Am          D7
Waited for the letter that you promised to write.
  Dm7              G7              C               Am
A gentleman with a top hat called around the other night,
Ab7  A7            D7           G
And, Annie doesn't live here anymore.

Instrumental

It was spring...