That's awesome!
I'm currently hunting Shiny Ribombee, hence the current avatar I have. I'm only about 200 SOS calls in, so it'll be awhile. My estimate is around 650 calls I claim one. Oh well, wish me luck (Im working on an English essay, editing a Spanish mini-film, and shiny hunting at the same time)!
These are the shinies I currently have:
-Shiny Minior (Random Encounter)
-Shiny Oricorio (Chained)
-Shiny Mimikyu (Chained)
-Shiny Lurantis (Chained)
-Shiny Alolan Ninetales (Chained)
-Shiny Gumshoos (Chained)
-Shiny Toxapex (GTS Giveaway)
I have broken my record of shinies in a generation to Generation VI's 6 shiny Pokémon I managed to catch. 7 down, but I plan to find many more. The bar for me is very, very high at this point.
EDIT: I'm also impressed with how little game time it took for me to actually get them:
GAME:
-Pokémon Y
-Pokémon Omega Ruby
-Pokemon Sun
TIME SPENT IN GAME:
-324:50 (Y)
-317:34 (Omega Ruby)
-133:18 (Sun)
All I can say is, gotta love SOS chaining!