Games : What legendaries can be soft reset?

What legendary Pokemon can be soft reset to farm for a shiny variant, and, in which games?

Example: If Groundon in Ruby can but cannot in Omega Ruby, make sure to tell.

One more thing, I do not care about the Game Boy Pokemon games legendaries, just because I can not get them to my newer games. You do not need to include any of them in your answer. I do care about Game Boy Advanced though.