Ok these are the original Stevie Wonder chords. For a while a reharmonized
chords by Jack Johnson have been lying around, 
and people were learning the wrong chords all this time. 
(Something like C, Cmaj9, Am, F, eeeew). 
Forget about these, here is the real stuff:
Song has three shifts by a semitone, but you can stay in 
Amajor all the way, and use the following ending 
"Bm,E,A; D,E,A"
Otherwise here is the full song:

A                    E/G#
Someday at Christmas men won't be boys
Em/G                    D
Playing with bombs like kids play with toys
Dm                    A
One warm December our hearts will see
Bm            E       Bm       E7
A world where men are free   mmmmmm

A                    E/G#
Someday at Christmas there'll be no wars
Em/G                       D
When we have learned what Christmas is for
Dm                       A
When we have found what life's really worth
Bm          E           A
There'll be peace on earth

(up by semitone)
Bb                        F/A
Someday all our dreams will come to be
Fm/Ab                    Eb
Someday in a world where men are free
Ebm                Bb
Maybe not in time for you and me
Cm             F        Bb
But someday at Christmastime

Bb                   F/A
Someday at Christmas we'll see a Man
Fm/Ab               Eb
No hungry children, no empty hand
Ebm               Bb
One happy morning people will share
Cm              F       Cm      F7
Our world where people care    ooooooooh

Bb                   F/A
Someday at Christmas there'll be no tears
Fm/Ab                 Eb
All men are equal and no men have fears
Ebm                    Bb
One shinning moment my heart ran away
Cm        F       Bb
From our world today

(up by semitone)
B                       F#/Bb
Someday all our dreams will come to be
F#m/A                    E
Someday in a world where men are free
Em                    B
Maybe not in time for you and me
C#m            F#        B
But someday at Christmastime

C                       G/B
Someday at Christmas man will not fail
Gm/Bb                   F
Take hope because your love will prevail
Fm                      C
Someday a new world that we can start
Dm         G        Dm      G7
With hope in every heaaaaaaart  yeah

C                       G/B
Someday all our dreams will come to be
Gm/Bb                   F
Someday in a world where men are free
Fm                      C
Maybe not in time for you and me
Dm         G        C
But someday at Christmastime
F          G        C
Someday at Christmastime 

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