I think the Ouya has several device-exclusive games, but the ZL can play indeed Android games and emulators.
However, I think the only way to do what you have in mind is to:
1) Connect the PS3 'joystick' via Bluetooth
. That way, you won't have to use the MicroUSB port.
2) Have an MHL cable for the MicroUSB to HDMI.
However, with point #2, powering the device will still be uncertain. The MHL (2.0) specs allow for powering your device when connected, but
A) Your TV will have to support MHL as opposed to HDMI.
B) Your MHL-to-HDMI adapter works as backward compatible HDMI, and requires external power to work.
In both cases I don't know whether the phone will charge and if it even does, whether the power will be sufficient to compensate for the (added bluetooth) power usage of the device.
It is for this 'contraption' that I initially wanted a device with both MicroUSB and MicroHDMI port, so more connectivity would be possible.
Anyway, I ordered all accessories I need to test this (but I don't have an MHL-supporting TV), expect info on this as I find it out.