"Only time can show you"

e|---------------------------------------------------------------|
B|--9------------------------------------------------------------|
G|--10-----------------------------------------------------------|
D|--10-----------------------------------------------------------|
A|--8------------------------------------------------------------|
E|---------------------------------------------------------------|

"Through an invisible door"

e|---------------------------------------------------------------|
B|--8-----8--8h9p8-----------------------------------------------|
G|--8---------------8--------------------------------------------|
D|--8------------------------------------------------------------|
A|--6------------------------------------------------------------|
E|---------------------------------------------------------------|

"In the bottom of the ocean"

e|---------------------------------------------------------------|
B|--6-------------6------------4---------------------------------|
G|--6-----------------6--------5---------------------------------|
D|--6--------------------------6---------------------------------|
A|--4--------------------------6--------6------------------------|
E|-----------------------------4---------------------------------|

"I threw a bird at the sky"

e|---------------------------------------------------------------|
B|--9---------9h11p9---------------------------------------------|
G|--10----------------10-----------------------------------------|
D|--10-----------------------------------------------------------|
A|--8------------------------------------------------------------|
E|---------------------------------------------------------------|

"Someone told me tha-at"

e|---------------------------------------------------------------|
B|--8-----8------------------------------------------------------|
G|--8-----8------------------------------------------------------|
D|--8----------8h10p8--------------------------------------------|
A|--6-----------------10-----------------------------------------|
E|---------------------------------------------------------------|

"You better close your eyes"

e|--------------------------------------------------------------|
B|-----6-6-----6-6----------4-----------------------------------|
G|-----6-6-----6-6----------5-------5---------------------------|
D|-----6-6-----6------------6----------6------------------------|
A|--4--4-4-----4------------6-------------6---------------------|
E|--------------------------4-----------------------------------|

Sorry that's all I've worked out for now, but I hope that as a starting point can help 
find out the rest, it's fairly simple!
Great song, and possibly my favourite.
Enjoy!

| /  slide up
| \  slide down
| h  hammer-on
| p  pull-off
| ~  vibrato
| +  harmonic
| x  Mute note