Eclectic - here is a list of some of the music lying around me.
Dire Straits
First aid Kit
Kate Bush
Beatles
Abba
Pink Floyd
When Rivers Meet
Amy Winehouse
Passenger
Brandi Carlisle
Meatloaf
Tina Turner
Dido
Mary J Blige
Led Zeppelin
Norah Jones
Everything on the Radio Paradise main mix.
A (very) little classical.
Not much in the way of heavy rock, though I have at least one Black Sabbath CD and a couple of AC DC.
Regarding the AXR100 - it will be fine. There is little to no audible difference between modern speaker amp performance as long as they are operated within their power limits. Choose your amp based on it having the power needed, and then the features you need, at the price you need and with the quality and after sales support you need. Don't worry about audio performance.
I'm using a Denon 3800 AVR - simply because my music listening space is the same as my AV space.
An alternative to consider (Depending on what your sources are) might be something like a pair of Fosi V3 Mono together with a wiim Pro.
But the AXR is a fine amp at a reasonable price.