Spiderman, Spiderman, does whatever...
    F#  G   A
e - 2 \ 3 \ 5 - 5 - 5 - 5 - 5
b - 2 \ 3 \ 5 - 5 - 5 - 5 - 5
g - 3 \ 4 \ 6 - 6 - 6 - 6 - 6  (play this four times)
d - 4 \ 5 \ 7 - 7 - 7 - 7 - 7
a - - - 5 \ 7 - 7 - 7 - 7 - 7
E - - - 3 \ 5 - 5 - 5 - 5 - 5

Spins a web...           Catches thieves...
    Dm7                        A
e - 5 - 5 - 5 - 5          e - 5 - 5 - 5 - 5
b - 6 - 6 - 6 - 6          b - 5 - 5 - 5 - 5
g - 5 - 5 - 5 - 5          g - 6 - 6 - 6 - 6
d - 7 - 7 - 7 - 7          d - 7 - 7 - 7 - 7
a - 5 - 5 - 5 - 5          a - 7 - 7 - 7 - 7
E - - - - - - - -          E - 5 - 5 - 5 - 5

Figure out the strumming on your own. It's not too hard.
This isn't the tru way the "D" plays it, but i think it's easier, and it still sounds good.