Engines for ETOPS

Which planes can apply for ETOPS?
Twinjets can apply for ETOPS over 60 minutes, from 75 to 207 minutes - and if the airframe, engine and airline qualify, they can get it.
Are nonjets permitted to apply for ETOPS? Say, a twin turboprop - if the engine, airframe and airline meet the necessary qualifications, are they allowed to fly under ETOPS?
And what about other engine types? Like piston of wankel twins - can they apply for ETOPS?
And what about trimotors? Trijets can fly arbitrarily long routes without any extra ETOPS limits, but propeller aircraft need 4 engines for long-haul without extra qualifications. Can trimotors apply for ETOPS?
Are geared turbofans classed as jets or as turboprops? What about propfans?
Twinjets can apply for ETOPS over 60 minutes, from 75 to 207 minutes - and if the airframe, engine and airline qualify, they can get it.
Are nonjets permitted to apply for ETOPS? Say, a twin turboprop - if the engine, airframe and airline meet the necessary qualifications, are they allowed to fly under ETOPS?
And what about other engine types? Like piston of wankel twins - can they apply for ETOPS?
And what about trimotors? Trijets can fly arbitrarily long routes without any extra ETOPS limits, but propeller aircraft need 4 engines for long-haul without extra qualifications. Can trimotors apply for ETOPS?
Are geared turbofans classed as jets or as turboprops? What about propfans?