They exist! My YN455 interchangeable-lens Android camera has all of those things. It uses the same 20MP MFT sensor as my PEN-F and I love it a lot: https://www.yongnuomall.com/product/detail/16254
It's picky about certain zooms, but it is fantastic with all of my primes (Lumix 20mm F1.7 ASPH and SIGMA 56mm F1.4 DC DN being my favs) and with any of my cine lenses. It's fine for stills as long as I can stand the e-shutter, but I love it for video. Unfortunately I can't seem to share an accurate video sample because Youtube's recompression is adding a ton of horrible choppiness that isn't in the actual camera output: https://www.youtube.com/watch?v=RCbnbKvNZlg (Shot on LAOWA 6mm T2.1 Zero-D Cine. Warning: loud!!)