1) can handle 1080p without problems;
2) has comfortable controls (probably need a remote control);
3) price less than 200$ (if you really need, you can increase my budget);
4) good antenna for receiving Wi-Fi signal (in a room, where there is a TV, signal is 20%);
5) the existence of a memory card slot;
6) support XBMC;
7) powerful processor and graphics accelerator.
I tried to search the Android Stick Computer. However, there are a large number of different devices.
I will be glad for any advice.