Season 1

Japanese Anime I have watched that I think are above average.

The Japanese Anime I have watched as they aired that ended in the Winter 2019 broadcast season (From around the beginning of January 2019 to around the end of March 2019).

Shows are listed as their separate 'seasons' to conform with Japanese series formatting, see any attached notes.

Best overall:
The Promised Neverland
Love is War

Best animation:
The Promised Neverland
The Magnificent Kotobuki

Best story:
The Promised Neverland

Best music:
Persona 5: The Animation - Stars and Ours

Most surprising:
The Promised Neverland
My Roommate is a Cat