I would want it to be able to stream music, whether through airplay or some other system (Spotify connect, etc), and also work with my TV setup including a 4k blu ray player and an Apple TV.
These requirements make it a tricky solution. If you absolutely need this type of thing, the only option is a mass market AVR (av receiver). Or maybe your 3 initial choices (marantz / denon / yamaha).
The Outlaw RR2160MkII stereo receiver is likely going to be the best sounding integrated from that list based on the $1k price point. However, it doesn't support the spotify/streaming stuff.