Taken from Labrinth's Acoustic performances of this song he plays exactly these 
chords and changes the lyrics slightly:
for the bridge and the second part of the chorus the D he plays after the Bm he 
plays as a bar chord. but it doesn't make much of a difference.
     
     EADGBE                    
D=  (xx0232) (x57775)
Em7=(020033) 
G=  (300033) (355433)
A=  (x02220) (577655)
Bm= (x24432) (799777)
Em (022000@1)         (x79987)

Verse 1:
D (xx0232@1)      Em7          G (320003@1)  A (x02220@1)           D (xx0232@1)   Em7  G (320003@1) AYou (x02220@1)tell all the boys no,    Makes you feel good yeah
D (xx0232@1)      Em7              G (320003@1)   A (x02220@1)             D (xx0232@1)      Em7      G (320003@1)  AI (x02220@1)know you're out of my league,   But that won't scare me away oh   no

Bridge:
Bm (x24432@1)                  D (xx0232@1)                          G (320003@1)      AYou've (x02220@1)carried on so long You couldn't stop if you tried it
Bm (x24432@1)                       D (xx0232@1)                     GYou've (320003@1)built your wall so high That no one could climb it
    ABut (x02220@1)i'm gonna try

Chorus:
         D (xx0232@1) Em7 G (320003@1)            AWould (x02220@1)you let me see beneath your beautiful
         D (xx0232@1) Em7 G (320003@1)            AWould (x02220@1)you let me see beneath your perfect
        Bm (x24432@1)          DTake (xx0232@1)it off now girl, take it off now girl
G (320003@1)         AI (x02220@1)wanna see inside
          D (xx0232@1)Em7 G (320003@1)             A (x02220@1)     
Would you let me see beneath your beautiful tonight

Verse 2 repeat chords:
D Em7 G A: x4
 
You've broken all the boys hearts, Makes you feel good don't it
Your dress your fancy clothes, they all just make-up to hide your scars,

Bridge:
Bm D G A: x2

You've carried on so long, You couldn't stop if you tried it
You've built your wall so high, That no one could climb it
But I'm gonna try

REPEAT CHORUS:

this part sounds a lot better played with bar chords, and that's how labrinth plays it:

A (x02220@1)       D (xx0232@1)               Em (022000@1)name="chord_xx0232@1">D  AI'm (x02220@1)gonna climb on top your ivory tower
A (x02220@1)            D (xx0232@1)                  Em (022000@1)D (xx0232@1)   AI'll (x02220@1)hold your hand and then We'll jump right out
         G (320003@1)      BmWe'll (x24432@1)be falling, falling
Em (022000@1)         BmBut (x24432@1)that's okay
GCause (320003@1)I'll be right here
A (x02220@1)                 
I just wanna knowww ohh wohhh.

Final Chorus and fade.

Enjoy people and if you spot any mistakes please let me no at 1004985@chester.ac.uk