How many breeds are recognized by the AKC and what were the last ten breeds they recognized? And what was the first breed recognized?
The American Kennel Club (AKC) has 200 dog breeds officially registered.  The last ten breeds registered are:

Russian Toy, 2022
Mudi, 2022
Bracco Italiana, 2022
Biewer Terrier, 2021
Belgian Laekenois, 2020
Dogo Argentino, 2020
Barbet, 2020
Azawakh, 2019
Nederlandse Kooikerhondje, 2018
Grand Gasset Griffon Vendéen, 2018

Nine breeds were first registered in 1878: 

Chesapeake Bay Retriever
Clumber Spaniel
Cocker Spaniel
English Setter
Gordon Setter
Irish Setter
Irish Water Spaniel
Pointer
Sussex Spaniel 