The series in NZ in February 2023 was drawn 1-1, in contrast to England’s 3-0 sweep at home in 2022.
Th second Test saw two unusual results. It was only the second Test to be won by a margin of 1 run. Here is a list of Tests where the margin was 5 runs or less:

It was only the 4th time that a team lost a Test after imposing a follow-on, and the first such instance when Australia was not involved:

A total of 112 Tests have been played between these teams. England leads 52-13 with 47 draws.
In England, England leads 33-6 with 20 draws in 59 Tests
In New Zealand, England leads 19-7 with 27 draws in 53 Tests.
We now look at individual performances, starting with
Most runs (1000 or more):

JE Root now has the most runs in these matches. He is the only current player in the above list.
Highest individual scores (175 or more):

H Brook’s 186 is the only score from the current series. The highest in recent years was 226 by Root in 2019.
Highest batting averages (Minimum 20 innings and 40.00):

Root has the second-highest average, followed by BA Stokes at some distance.
Highest strike rates (Minimum 1000 balls faced and 50.00):

Fittingly, BB McCullum heads this list. Current players here include Stokes, Pope, Root and Blundell.
To be continued.