Otis version uses the Chords: A - F#m - D - E - A
But I think it's more comfortable to sing and play it when transcribed to:
C - Am - F - G - C
    C                   Am                F         G         C
e|---X-0-------X-0-------X-0-----X-0-------X-1-------X-3-------X-0-------X-0-|
b|---X-1-------X-1-------X-1-----X-1-------X-1-------X-3-------X-1-------X-1-|
[Verse]
          C                Am
When the night has come
And the land is dark
         F            G               C
And the moon is the only light we'll see
      C                     Am
No I won't be afraid, no I won't be afraid
         F            G          C
Just as long as you stand, stand by me
[Chorus]
C                                              Am
And darlin', darlin', stand by me, oh now now stand by me
        F     G             C
Oh now stand,   stand by me,   stand by me.
[Verse]
        C                     Am
If the sky that we look upon
Should tumble and fall
          F                G             C
And the mountains should crumble to the sea
         C                      Am
I won't cry, I won't cry, no I won't shed a tear
         F            G          C
Just as long as you stand, stand by me
C                                              Am
And darlin', darlin', stand by me, oh now now stand by me
        F     G             C
Oh now stand,   stand by me,   stand by me.
[Chorus]
C                                                              Am
Whenever you're in trouble won't you stand by me, oh now now stand by me
        F     G             C
Oh now stand,   stand by me,   stand by me.
C                                              Am
And darlin', darlin', stand by me, oh now now stand by me
        F     G             C