Back to The Rainbow Connection:
The lyrics you posted, Joe, left out the bridge.  Here they are with the bridge and the author credits:
Also, I was looking for the chords at Mudcat but didnt' find them, so I looked at sheet music and other sources and derived this simplified version of the chords.
Genie
 

The Rainbow Connection    Paul Williams and K.  Ascher (As sung by Kermit The Frog in "The Muppet Movie")

D                       F#              G                      A
Why are there /  so many /  songs about /  rainbows
            D                    Bm         G          A
And /  what's on the /  other /  side? /        /
  D                      F#*                G            A
Rainbows are /  visions, but /  only il- /  lusions,
           D                       F#*                 G          A
And /  rainbows have /  nothing to /  hide.   /     /
G                      Bm                          G                 Bm
So we've been /  told, and some /  choose to be- /  lieve it.  /
F#                      F#m
I know they're /  wrong -- wait and /  see.  /      /
G                        A                    F#m                   B7
Someday we'll /  find it,  The /  Rainbow Con- /  nection,
            G                  A                     D
The /  lovers, the /  dreamers and /  me.   /      /

D                         F#                         G                      A
Who said that /  every wish would /  be heard and /  answered
                D                    Bm             G          A
When /  wished on the /  morning /  star? /      /
  D                    F#*                           G                    A
Somebody /  thought of that /  And someone be- /  lieved it
           D                      F#*             G        A
And /  look what it's /  done so /  far!   /       /
G                      Bm                    G                   Bm
What's so a- /  mazing  that /  keeps us star /  gazing   /
F#                    F#m
What do we /  think we might /  see?   /      /
G                        A                    F#m                   B7
Someday we'll /  find it,  The /  Rainbow Con- /  nection,
            G                  A                     D
The /  lovers, the /  dreamers and /  me.   /      /

Bridge:
A                 D               A                       G                         D             A
All of us /  under its /  spell --  /  We  /  know that it's /  probably /  magic.    /       /

D                         F#                        G                          A
Have you been /  half asleep, And /  have you heard /  voices? /
D                          Bm               G             A
I've heard them /  calling my /  name.   /      /
 D                      F#*                              G                        A
Are these the /  sweet sounds That /  called the young /  sailors?   /
D                         F#*                   G        A
I think they're /  one and the /  same.   /     /
G                   Bm                G                 Bm
I've heard it /  too many /  times to ig- /  nore it.
                F#                       F#m
There's /  something that /  I'm s'posed to /  be.   /         /
G                        A                    F#m                   B7
Someday we'll /  find it,  The /  Rainbow Con- /  nection,
            G                  A                     D
The /  lovers, the /  dreamers and /  me.