I just decided to transfer a Youtuber's rendition of this song onto a more easily 
readable format. I don't take credit for this. 
Original video's URL: http://www.youtube.com/watch?v=tKBi35gBXyc

Bb       C      Am    Dm Bb  C
To to ro totoro to to ro totoro.........

F      C  Dm Am
Dareka ga kossori
Bb         Gm       C   
Komichi ni ko no mi uzumete
F        C  Dm Am
Chiisana me haetara 
Bb           Bbm
himitsu no ango
       F        D7
Mori e no pasupooto
Bb       Gm            C
Sutekina bouken hajimaru

Chorus:

          F          C          A7   Dm
Tonari no to to ro totoro to to ro totoro
Bb        F     Gm           C
Mori no naka ni mukashi kara sunderu
          F          C          A7   Dm
Tonari no to to ro totoro to to ro totoro
Bb  C          Am Dm   Bb            C        
Kodomo no toki ni dake anata ni otozureru
             F     Bb
Fushigina deai

F     C   Dm   Am
Ame furi basu tei
Bb       Gm       C   
Zubunure obake ga itara
F     C  Dm    Am 
Anata no amagasa 
Bb            Bbm
sashite agemasho
        F       D7
Mori e no pasupooto
Bb       Gm           C
Mahou no tobira akimasu

          F          C       A7      Dm
Tonari no to to ro totoro to to ro totoro
Bb      F      Dm Gm         C
Tsukiyo no ban ni okarina fuiteru
          F          C       A7      Dm
Tonari no to to ro totoro to to ro totoro
Bb   C    Am   Dm   Bb              C
Moshimo aeta nara sutekina shiawase ga
         F      
Anata ni kuru wa


Bb C F