I've gotten quite a good amount.
I caught a Shiny Aipom randomly within my first week of playing, but by now I've evolved it into an Ampibom.
I also caught a shiny Swablu randomly back in May
I hatched a shiny Alolan Diglett that I have since evolved into a Dugtrio... I believe this was back in July.
Four Shiny Turtwig that I caught during Turtwig Community Day. That was a lucky day...
I also caught a Shiny Trapinch during Trapinch Community day back during Columbus Day weekend.
I caught a Shiny Torchic during a Community Day as well, which was recently.
I believe my most recent shiny was a Shiny Ralts, which was on December 14th, another community day.
So, ten shinies. I definitely don't enjoy any of my shinies more than the others, though, but getting four shiny Turtwig on the same day was really cool.