Integrated amp under $5k

Anthem STR Integrated Amplifier solid 200wpc, Anthem room correction, I have the preamp on Yamaha M2 amplifier Solid, musical, and ARC works great. https://www.crutchfield.com/p_973STRBK/Anthem-STR-Integrated-Amplifier-Black.html

If you shop you may find a used McIntosh MA7900 for about 5M. I have one and highly recommend. It is class A.

Peachtree Carina X or Carina GaN

Integrated class D, check out the Heaven 11 Billie. 
 

Class D power amp, check out the Orchard Audio Starkrimson Ultra. 

The Axxess Forté series of integrateds are the best implementation of Class D I have encountered, both integrateds and separates. I suspect that’s because their distortion profile is 2nd order dominant, with all higher orders being inaudible. They are rated at 100 WpC, but actual output is approximately 170 watts into 8 ohms and 250 watts into 4. The onboard DACs are stellar too.