Anime Games that allow you to create your own anime characters (avatar) online:
Sword Art Online: Fatal Bullet
Onigiri
Phantasy Star Online 2
Code Vein
Kurtzpel
Closers
Soul Worker
Genshin Impact
Tower of Fantasy

Among them, following games are the most popular anime avatar creator games according to best anime games database:
Sword Art Online: Fatal Bullet
Genshi