So Doctor Who (196X) is Classic Who and Doctor Who (2005) is New!Who or sometimes NuWho so Doctor Who (2023 must be Newer!Who or NuerWho and so perhaps NürWho.
The proper terms are Showa Who, Heisei Who and Reiwa Who
I don't suppose we should speak of Major-Era Who, Blair-Era, Brown- and Cameron-Era...
There are four eras: Beebeecene, Wilderness, Cambrian and Lupine. There are also periods which correspond to the different Doctors, epochs which correspeond to the head writers and producer teams in charge of the show, and then ages that change whenever the setup of companions in the TARDIS change.
For those that wanted it I have made a Cryptpad copy of the full spreadsheet:
https://cryptpad.fr/sheet/#/2/sheet/edit/CRDbIRQoIYqNvxKJQfVIFBWF/








