I have watched the first episode of the second series. That was one episode too much.
The first series was faithful to the original book written by Pratchett and Gaiman, which came out in 1991 (just at the end of the Cold War). So a large part of that book reflected the Cold War era and the 70's/80's.
It was also a satirical take on the film, The Omen from the 1970's. About the anti-Christ. As I am sure many already knew. Oh and religion, the M25 etc.
This series (series 2), seems to be a blatant cash-in by Gaiman to get money from Amazon Prime and keep Sheen/Tennant onboard. The story just does not interest me. Who wants to watch a naked angel (Gabriel) walk down an artificially overcrowded fake London street? Not me. With the convenient story trope of Gabriel losing his memory.
I preferred Carnival Row, and that had the sense to end after two series.
To conclude, this should never have had a second series, one series and done would have made me happy. Terry Pratchett, who has sadly departed had apparently no input on this series 2 and it shows. The original was a satirical, funny, and referenced many things of the time. I see none of that wit in this series (series 2), because it was rushed out of the door. Instead we get virtue signalling from the production that has been done so many times - it is boring. I am amazed that this second series has such high ratings on Prime now. It reminds me of his American Gods, first series was OK (based on books?) then the ratings dropped off the cliff and it was thankfully cancelled.