I'm not a dealer for either brand, but from my experience I much prefer the Cary Audio's sound over the likes of Anthem.
I'm a big sound over features type of guy and feel Cary has the better audio section. Still, you cannot disregard Anthems killer video section.
Amplification I give credit to Cary as well. Anthem amplifiers do nothing for me. Sure, they have gobbs of power, but I think they tend to sound warm. That may be on purpose to tame the Paradigms, though.