All depends on the game. Here, lemme give you a rundown.
In all Fallout games, I name my characters Jack. Jack the Vault Dweller, Jack the Chosen One, and Jack the Lone Wanderer. It became a funny running gag, though lately I've been using Bob, because the nickname of FalloutBob sounds like a guy with a Beowulf complex.
For reasons I cannot explain, I always refer to Bartz in FF5 as Joe. (It might have to do something with a different character of mine.) And I abused the Namingway like hell in FF4.
In Shadow Madness, I renamed the worker robot HARV-5 as REAPER-X. Sounded cooler.
Persona games! In the original Persona, main character was Drake, after one of my coolest hero-characters. Protagonist for P3 was Haruko Kuroda, after a zombie-hunting psychic I made. P4's guy: Evan Ramsey, because the glasses made him look much like him. (SMT: Nocturne, speaking of Atlus games, received the character naming of Kazu "Ricochet" Harada, also because he resembled the guy.)
I think the point of this is that this is very influenced by characters I make up or write about.