You won’t find a lot of manufacturers that openly advertise a “local API”. Even the ones that do have that feature, won’t give support, at least I don’t know of any of them.
But, you can check this list, for known working models, that are based on Midea:
As you can see, there are numerous manufacturers that re-brand the Midea units with their name and these work totally local if you use an ESPHome based connection.