I'm using a Panasonic Viera 32" HDTV with specs of 1388 x 768 which the previous Mini only had a setting for 720p which is something like 1300 x 720. That's why I had the black bars all around. I did buy DisplayConfigX which creates and installs custom resolutions but was way too technical for me -- I couldn't find a setting that worked.
I have the mini connected directly to my TV via HDMI but I'm sure it could go from Mini to receiver/amplifier just fine. If your receiver doesn't have an HDMI input then you could just get a 3.5mm audio jack and plug that into the output of the Mini and then have, RCA plugs I guess, on the other end. I use a Samsung SoundBar as my speaker system which plugs directly into my TV via optical cord. My TV is in a small room so I didn't need a whole lot of power behind my speakers.
The new Mini is very well designed. I took some upgraded RAM out of the old Mini which is a chore as others have said, and put it in the new one which is the easiest computer upgrade task I've ever done. That bottom panel is very well designed.