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.