Which Gen III non-legendary species are not yet released in PoGo?
I remember that the Nincada family are not yet released. The non-legendary, non-regional species that I have yet to encounter or even see in gyms are Wingull, Pelipper, Spinda, Kecleon and the Clamperl family.
Answers
I wish I had the problem of not seeing any Wingull; during the Windy event I hatched 5 of them.
The rest you mention are ones I've not seen either. I don't even have any of them in my Pokedex as shadow entries. Not sure if they're unreleased, if they're Regionals or if they're just stupid-rare and no one has them in my area yet.
I don't see that problem either, but maybe the way they coded these initially poses some problems. Personally I would have just made each item be used on a pokemon like potions. That way we could pick what to evolve Eevee into, using special stones, and same with Clamperl and others. For Nincada, the usage of one pokeball on it should just consume the pokeball + candy and give you a Ninjask and a Shedinja.