Girl
From the Little Earthquakes liner notes:
rushin' rivers thread so thin limitations dreams with the
flying pigs turbid blue and the drugstores
too safe in their coats and in their do's yeah
smotherin our hearts a pillow to my dots

Flying Dutchman

No official source

This one is complicated, because there are 3 layers of
Tori's voice singing at the same time:

they can't see what i've found out (voice #1)
they can't feel (voice #2)
they can't see they can't see (voice #3)
you know you know you're jumping from a high jump (?) (voice #3)
are you still out there? (voice #1)
they can't see and and I just lose myself (voice #2)
so many know you know but they can't see (voice #3)

Note: I listened to these lyrics myself, and I think it really goes like this:
They can't see, they can't think
And you know, you know, you know your mother hides you
Hides your head, hides your head
So many jars (or 'joys' or 'know') you know they'll never make him see.

Take To The Sky

From the US Limited Edition Winter Single liner notes:

there she goes again
wearing those purple panties
there she goes again
wearing her heart
there she goes again

God

No official source

Spoken:

Give not thy strength unto women,
nor thy ways to that which destroyeth kings.

Space Dog

From the Under The Pink liner notes:

so sure those girls now are in the Navy
those bombs our friends can't even hurt you now
and hold those tears cause they're still on your side
don't hear the dogs barking
don't say you know we've gone Andromeda
stood with those girls before the hair in pairs
it just got nasty [weather] and now those girls are gone

Father Lucifer

No official source for voices 2 and 3, voice 1 is
(mostly) from the liner notes to Boys For Pele.

Again there are 3 layers of Tori's voice, singing at the
same time. Here are the words (or my best
guess at them) in chronological order:

every day's my wedding day (voice #1)
go away well only glass Georgie (voice #2)
though baby's still in his comatose state (voice #1)
can not faye red skiddly dee (voice #2)
I'll die my own easter eggs [just] (voice #1)
and i'm G.S. (gee yes?) never go (voice #2)
don't go yet [just don't go] (voice #1)
go so fast (voice #2)
and Beenie lost the sunset but that's OK (voice #1)
go away down lee glass Georgie's (voice #2)
maybe she's hiding in a high door (voice #3)
does Joe bring flowers to Marilyn's grave (voice #1)
well you're faye red (voice #2)
get a peek, hiding her truffles (voice #3)
and girls that eat pizza and never gain weight (voice #1)
there she goes and she goes (voice #2)
wearing those purple garters (voice #3)
never gain weight, never gain weight (voice #1)
and she goes (voice #2)
and girl I've got a condo in Hoboken (voice #3)

The first voice actually starts slightly later than the
second voice, but the first voice is the one with
the lyrics that are printed in the lyric book and
actually make some sort of sense. The third voice
(the really high pitched one) doesn't come in until
about half way into the section.
Here are the words separated out by voice
(not that they make any more sense that way...)

Voice 1:

every day's my wedding day
though baby's still in his comatose state
I'll die my own Easter eggs
[just] don't go yet [just don't go]
and Beenie lost the sunset but that's OK
does Joe bring flowers to Marilyn's grave
and girls that eat pizza and never gain weight
never gain weight
never gain weight

Voice 2:

go away well only glass Georgie
can not faye red skiddly dee
and I'm G.S. (gee yes)
never go
go so fast
go away down
lee glass Georgie's well you're faye red
there she goes and she goes and she goes

Voice 3:

maybe she's hiding in a high door
get a peek, hiding her truffles
wearing those purple garters
and girl I've got a condo in Hoboken

Talula

Thanks to Danica Knox, who asked Tori in person what the lyrics
were, and this is what Tori said (or sang, rather):

maybe I'm a happy girl
maybe I'm a honey dew
maybe it's a bad job
maybe it's what you are

Doughnut Song

You can't tell me it's over, over
You can't tell me over your shoulder
You can't tell me it's over
Come in, Houston

In The Springtime Of His Voodoo

From the Boys For Pele liner notes:

every road leads back to my door
every road I will follow
every road leads back to my door
got all your crosses loaded

Hey Jupiter (Dakota Mix)

new background lyrics added to the Dakota Mix.
From the Hey Jupiter single liner notes:

I go from day to day
I know where the cupboards are
I know where the car is parked
I know he isn't you