Unlike the turkey which is a North American bird and whose path to becoming kosher is a great story of its own, OU writes there was a tradition to eat certain types of quail (it was eaten by the Israelites in the desert already)
There are multiple species called quail. There was a well-accepted
tradition in Europe to eat coturnix coturnix and coturnix japonica.
Other species of quail, such as Scaled Quail and Gambel’s Quail, will
not be permitted by the OU unless and until a valid masorah for that
specific species is obtained.
Similarly the Kosher London Beth Din writes there is a tradition to eat pheasant
But by tradition, Jews can eat poultry such as duck, chicken, goose
and turkey, and also pigeon, pheasant and partridge.
See also here in more depth from the OU.