Which is more natural?
A: She is a famous Japanese writer.
B: She is a Japanese famous writer.

See a translation

Here’s a guide for how to order your adjectives ...
Determiners – a, an, the, my, your, several, etc.
Observations – lovely, boring, stimulating, etc.
Size – tiny, small, huge, etc.
Shape – round, square, rectangular, etc.
Age – old, new, ancient, etc.
Color – red, blue, green, etc.
Origin – British, American, Mexican, etc.
Material – gold, copper, silk, etc.
Qualifier – limiters for compound nouns.

Here are some examples:

"The interesting, small, rectangular, blue car is parked in my space."

"I bought a beautiful, long, red, Italian, silk tie."

"My father lives in a lovely, gigantic, ancient, brick house."

"I have an annoying, small, circular, American, tin, alarm clock that wakes me up."

"Let’s order a delicious, huge, rectangular, pepperoni pizza."