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Not counting events and what not, i have had 3
A venonat during a bug catching contest when i was just grinding killing bugs for a psychic type pokemon, game save got corrupted and i lost him, along with all my other bros.
second was an masuda method eevee i hatched, named him Zidane and he is an umbreon now, kinda wish i would have waited until i saw shiny Sylveon, but whatever, i love my blue ring umbreon
3rd was a shiny metapod i found during a nuzlock run, he is now an awesome green eyed butterfree