This is based on Earonoff's and Thohug's transcriptions, but with a few changes, 
especially to the bridge as it didn't sound quite right to me. I think this is a little closer.

This is also based on the version from the Muppet Album which is in 4:4 time, rather 
than the 3:4 time version in the movie.

G          Dsus/G    Em       A
This looks familiar. Vaguely familiar
G         Dsus/G     Dsus/F#      Em           A
Almost unreal, yet,       it's too soon too feel yet
Am          D              Bm     Esus  E
Close to my heart, and yet so far away
    Am          D          G
I'm going to go back there someday

G          Dsus/G   D   Em            A
Sun rises, Night falls, Sometimes the Sky calls
G            Dsus/G          Em   A
Is that a song there? And do I belong there?
Am         D               Bm         Esus  E
I've never been there, but I know the way
    Am          D          G                  G/F#
I'm going to go back there someday

Em           A             D
Come and fly with me. It's more fun to share
Em            Asus      A   D
We're both be completely at home in mid-air
      E           C#          F#m         F#m/E
We're flying, not walking, on featherless wings
       D         D/C#       C         Dsus     D
We can hold onto love, like invisible strings

G             Dsus/G       Em                 A
There's not a word yet for old friends you've just met
G               Dsus/G    Dsus/F#    Em           A
Part heaven, part space.      Or have I found my place?
Am           D            Bm      Esus  E
You can just visit, but I plan to stay
    Am          D          G        G/F# Em
I'm going to go back there someday
    Am          D          G
I'm going to go back there someday