The chords are the pretty simple but it's the forms in the actual song that make it sound so cool:
E is just E
    - x99800
 - x99900 
   - x44300
  - x44200
  - 
Basically it's

 just a E chor

d form moved b

ut not barred 

keeping the 1s

t and 2nd stri

ngs open inste

ad

INTRO:  
 /  /  / 
 /  /  /  

VERSE:

Look at the st

ars
              
Look how they 

         
shine for you
              
And everything

      
 you do
              
Yeah they were

             
 all yellow
I came along
              
I wrote a song

    
 for you
              
And all the th

          
ings you do
              
And it was cal

             
led "Yellow"
              
So then I took

   
 my turn
              
Oh what a thin

           
g to have done
              
And it was all

  
 yellow

CHORUS:

  Your skin
           
Oh yeah your s


kin and bones

  Turn into
          
Something beau

#
tiful

  You know
         
You know I lov

         
e you so
You know I love you so

INTRO:
 /  /  /  

VERSE:

  I swam acros

s
              
I jumped acros

     
s for you
              
Oh what a thin

       
g to do
              
'Cause you wer

             
e all yellow

I drew a line
              
I drew a line 

   
for you
              
Oh what a thin

       
g to do
              
And it was all

        
 yellow

CHORUS:

  Your skin
           
Oh yeah your s


kin and bones

  Turn into
          
Something beau

#
tiful

  You know
         
For you I'd bl

         
eed myself dry
For you I'd bleed myself dry

ENDING:
 /  /  / 

     
It's true
              
Look how they 

          
shine for you
              
Look how they 

          
shine for you
              
Look how they 

          
shine for...
              
Look how they 

          
shine for you
              
Look how they 

          
shine for you
                        
Look how they shine

  Look at the 

stars
              
Look how they 

         
shine for you
              
And everything

  
 you do