Modulations are noted with ().

I)

    A           E7/A |             A   :||

V1)

    A                | E7sus         E7
        I saw the world   but didn't like it.

           (E)
    A      B7/A      | G#m7          C#m7
        Without you there I couldn't fight for

                       (A)                                          (D)
    F#m7             | E7sus/B   E7    | Amaj9     A6/9     | Amaj9 A7 A7sus
       our survival.   If you   need me  you'll believe me.

    D                | A7sus            A7sus/G
      Throw out your doubt that time is over.

                                   (A)
    D/F#    Bm7      | C6/9        E7   /F#  | (repeat intro)
       Just cry your fears into my shoulder.

V2)

    A                | E7sus     E7
        Grow tired as     as the days burn.

    A      B7/A      | G#m7           C#m7
       Sit down with me and watch the world turn.

    F#m7                    | E7sus/C   E13  /F# | Amaj9     A6/9    | A (bass G)
      I think you will learn  if    you need me    you'll believe me.

B)

    (F)
    F     /C   /F /G | /A /C            | C7sus     /G /A  | /Bb /G   C7

    (Db)
    Db   /Ab /Db /Eb | /F /Ab           | Ab7sus   /Eb /F  | /Gb /Eb  Ab7

    (A)         (Bb)             (B)                  (C)                (C#)
    A   /E  /F  F+/A | Bb /F /F# F#+/A# | B  /F#  /G  G+/B | C  /G  /G#  G#+/B#

    (C#m)    (B)                (Bbm)
    C#m      Em      | Bsus     D#m     | Bbm/F     F+ F/C | Bbm(9)   Bbm
    
    (D)
    D+/F Gm/F# Gm    | Dsus/G   D/F#    | Bm      Bm7/A    | Em7/B    A7sus A7

V3)

    D                | A7sus           A7sus/G
      Don't start to cry it's far from over.

    D/F#       Bm7   | C6/9           E7  /F# | (repeat intro)
       Look at who I am    I'm coming closer.

    A                | E7sus       E7
      Look on your face    doesn't ...

    A      B7/A      | G#m7           C#m7
       The big disguise        joy is painful.

    F#m7             | E7sus/C   E13  /F# | Amaj9     A6/9
        I just hope    if you    need me    you'll believe me.

Outro)

    A     Amaj7      | Am9               :||

Notes

This is a well done Pet Sounds tribute in harmony and arrangement. 3rd inversion dom7 chords; using them to modulate to nearby keys; bass solos centered around the 5th; lush V7sus chords.

There are several instances of what sounds like C6/9 or E7sus/C. My guess is these were originally E7sus/B as in the first verse, but the C bass (muted just before the vocal hits C#) made a nice trick for the ears, making the modulations back to A a little less cliche.

The bridge section at 1:30 has a clever modulation from C# minor to Bb minor: After C#m, the Em suggests the iv of B and indeed we follow with I – iii in B. However D#m is used to pivot again to Bb minor as Ebm is the iv. He uses a cadential 6/4 to really settle us in Bb minor. The following a capella part comes in sounding like Bbmaj with a flat 6 due to the low voice’s start on F (maybe an accident), but these two bars I think are really a fancy plagal cadence in D major: V+/iv – iv – Isus – I.

The E13s are voiced as E7 with the 13 only in the vocal. The Amaj9 to A6/9: I’m including the vocal in the maj7 – 6th harmonies.