Here in Europe, specialized nurseries sell tens of cultivars, common nurseries sell few basic japanese persimons (d. kaki) like:
Hana Fuyu
Giant Fuyu
Vainiglia
Tipo
Rojo Brillante
sometimes Jiro, or Cioccolatino.
I have Hana Fuyu and Tipo in greenhouse, this year I bought Cioccolatino, which is very good pollinator. Here in zone 6 it is lottery to grow d. kaki outdoor, This is why those, who want to grow kaki outdoor are focusing on crosses of japan persimmon and american persimmon, which are more frost hardy like
Nikita´s Gift (D. Kaki x Roseyanka)
Roseyanka (D. Kaki x D. Virginiana)
And many others ussualy breeded in Ukraine.