@ghdprentice +1, very good answer.
A few years ago, I moved from some nice sounding class A amps to Bruno Putzeys' Class D NC1200 monoblocks that were all the rage at the time. Unfortunately, as mentioned by @ghdprentice, "everyone realized they just didn’t sound that good", including me. In essence, they just did not sound natural to me wrt high frequencies, decay, and spatial ambience of the venue and between musicians. Those amps made me think of individual musicians each playing in their own isolated sound booth.
I have nothing against class D, but have not heard any examples perform at the same level as the better class A and AB amps I have owned. However, I do like them powering my subs.
You clearly know what you like - "I currently have an Onkyo TXNR 636 which has served very well." Therefore, take your time, go listen to some amplifiers, and then pick what sounds good to you, not what others say you should like, or what has the coolest-looking VU meters.