Samsung The Premiere 7 and 9, LG CineBeam series, Benq EH600, EW600, EW800ST, Epson 2025 or later models. Sony says that all their TVs on their Google TV platform support AirPlay, but do not specifically mention projectors in that. Sony’s list for Android TV platform has just (higher end) TV models. JVC projectors don’t seem to support AirPlay at this time, or they don’t mention it.
Else, have you considered a combination of projector and Apple TV box? It offers all you want for any model (smart or not) or brand with HDMI, except for the all-in-one aspect.