The first two lines of each verse have the same chord progression: D major | F# minor | G major | A major. In the Ronettes' version, the chord progression has the same rhythm in both lines: four beats of D major, four beats of F# minor, six beats of G major, and then two beats of A major. Illustrated with single notes, using the root note of each chord, the rhythm is something like this:
In the Beach Boys' version, the chord progression has different rhythms in those first two lines. For the first line, each chord is strummed for four beats. Using the same notation method as above (using the root note to represent the chord), the rhythm is:
The second line has the same rhythm that both lines in the Ronettes' version have:
Because the rhythm of the second line is not just an outright repetition of the first, I think this makes the Beach Boys' version a bit more interesting to listen to.
Here are the chords in their entirety (with the disclaimer that - as always - I might be wrong about something):
Verses:
D major | F# minor | G major | A major
D major | F# minor | G major | A major
G major
A major
Chorus:
D major
E minor | A major
D major
E minor | A major
D major | D7
G major | G minor
D major
E minor | A major | D major
Like I mentioned above, the instrumentation (save for tambourine and hand-claps) drops out for the bridge, but in the Ronettes' version, the chords there are just D major | A major | D major.