This is a tab based off of his performance for a pilot of a show called the Jon Brion show.
https://www.youtube.com/watch?v=PK4okHerWeI The song begins at 18:13
CHORDS:
G     320033
D     xx0232
D/F#  2x0232
D/C   x30232
D/B   x20232
Am    x02210
E     022100
E/G#  4x2100
C     x32010
C/G   332010

RIFF:
E|---0---3-0-----------------------------------------|
B|-3---3------3--------3-------------0-----------1---|
G|---------------2-4-2---4--2----------2--0-----0----|
D|-----------------------------0-2-0---------2---2---|
A|-------------------------------------3-----------3-|
E|---------3-------------2---------------------------|

VERSE 1:
      G                  D/F#
Dirty old river, must we keep rolling
       C
Flowing in to the light
       G                 D/F#
People so busy, makes me feel dizzy
       C
Taxi lights shine so bright

BRIDGE 1:
    Am     E/G#
But I don't
    C/G        D
need no friends
        G                D/F#
As long as I gaze on Waterloo Sunset
     C
I am in paradise

(G-D/F#-E)

CHORUS:
Am                            D
Every day I look at the world from my window

(G-D/F#-E)

Am
Chilly chilly this evening time
D        D/C
Waterloo sunsets fine

VERSE 2:
      G                 D/F#
Terry meets Julie, Waterloo station
      C
Every Friday night
         G                   D/F#
But I am so lazy, don't want to wander
          C
I stay at home at night

BRIDGE 2:
Am         E/G#
But I don't
C/G        D
feel afraid
        G                 D/F#
As long as I gaze on Waterloo Sunset
     C
I am in paradise

(G-D/F#-E)

CHORUS:
Am                            D
Every day I look at the world from my window

(G-D/F#-E)

Am
Chilly chilly this evening time
D        D/C
Waterloo sunsets fine

VERSE 3:
         G                   D/F#
Millions of people, swarming like flies
            C
'round Waterloo underground
          G                     D/F#
But Terry and Julie, cross over the river
                C
Where they feel safe and sound

BRIDGE 3:
Am            E/G#
But they don't
C/G            D
need no friends
       G                     D/F#
As long as they gaze on Waterloo Sunset
         C
They are in paradise

(G-D/F#-E)

RIFF:
E|---0---3-0-----------------------------------------|
B|-3---3------3--------3-------------0-----------1---|
G|---------------2-4-2---4--2----------2--0-----0----|
D|-----------------------------0-2-0---------2---2---|
A|-------------------------------------3-----------3-|
E|---------3-------------2---------------------------|

END:
D        D/C
Waterloo sunsets fine