Ok so as far as I understood, there are two standards concerning the plugs (with mics): CTIA and OMTP. But they are only hardwarewise which ring is for what, and a adapter can change from one standard to the other.
The Apple only headsets have an ADDITIONAL thing named TRRS conncection that is more interesting softwarewise, and that is patented though not usable for android phones (-> no mic, not full button function). There you can do nothing.
But any headset lacking this TRRS with buttons should be work, either with or without adaptor.
Unfortunately enough most headsets don’t have a detailed descrition about used standards (which annoys me incedible). But with something like “android headset” you should be on the save side.
But concerining a good android headset there are many discussions on the internet, so a little bit of research should do.