I looked trough the tabs and I couldn't find a good one without capo.
So, for all these who do not like playing with capo: here is one with (hopefully) no mistakes.
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Verse:
F#           Ebm 
Safety pins holding up the things
     B        Abm
That make you mine
F#               Ebm
About your hair, you needn't care,
         B                 Abm
You look beautiful all the time

Chorus:
Ab       C#        F#     C#
Shine, shine, shine on,   Yes
Ab       C#         F#    C#
Wont you shine, shine on

Verse 2:
F#               Ebm 
Your magazines, at people at the seams
B              Abm
But you still read 
F#                Ebm 
I must admit, I don't believe in it 
       B                Abm
But I see how you get sucked in

Chorus:
Ab       C#        F#     C#
Shine, shine, shine on      Yes
Ab       C#          F#    C#
Wont you shine, shine on      (Sha la la la)
Ab       C#        F#     C#
Shine, shine, shine on      Yes
Ab       C#          F#    C#
Wont you shine, shine on     Because your not done

Bridge:
Fm  Ab            F#
         Why do you bite the
          C#
hand that feeds you, why do you
Ab           F#
    Why do you bite the hand
      Fm
that feeds...you!

Interlude/Solo:
F#; Ebm; B: Abm |x2

Chorus (as above):
Ab       C#        F#     C#
Shine, shine, shine on      Yes
Ab       C#          F#    C#
Wont you shine, shine on      (Sha la la la)
Ab       C#        F#     C#
Shine, shine, shine on      Yes
Ab       C#          F#    C#
Wont you shine, shine on

Verse 3:
F#           Ebm 
Safety pins holding up the things
     B        Abm
That make you mine
F#               Ebm
About your hair, you needn't care,
         B                    Abm
You look beautiful all of the time