Normally if I am playing a game that has characters name set for the story already, I go by the game's default my first time. Like with Link for example. Then after I've beaten the game at least one time, any other time I play the game again, I name it after me, RoseBell. Then after I beat the game with my name as the character's, I name them whatever I am in the mood for.
For games with character builds(as well as character creation if its available in the game) like Torchlight or Xenoblade Chronicles X, I go all out to dedicate per character per characters I like in different games or shows.
In the case of Xenoblade Chronicles X, a game in which I have devoted 1500 hours into, I made about 6 characters in honor for my most loved/favorite characters in other series. I have made Kirby, Itachi, Zeratul, Samus, Bayonetta and Debora. With of course 4 other characters of different variations of me. All have different builds, looks that try to look like the characters themselves from their own series the best way possible and other things of that nature.
In the case of Torchlight, it is most similar to that of Xenoblade Chronicles X.
In the case of Dragon Quest(aka Depression Quest) series, I usually name the Hero character as Ali because the male MC gives me that Ali impression on their appearance, especially DQV's Hero lol. The rest of the nameable character casts, if its a female MC, there is a 50/50 of me naming her after me or leaving it default and for other other male characters, I leave their name as default.