Better Integrated Amp?

I second Yamaha 501, or higher model if you can. I have been very familiar with it. It is an excellent amplifier. I cannot say how it compares to others listed, but it is a good machine.  A pair of Monitor Audio speakers to match and you are good to go.

I would highly recommend the PS Audio Sprout. My secondary system used the original Sprout (it has been updated to the Sprout 100 with 100w through 4 ohms and the convenience of a remote control) and the Q Acoustics 3050 floor standing speakers and the sound was excellent and a true “budget” system. I used a Music Hall Turntable with an Ortofon 2M Blue cartridge and they all paired well. The Sprout 100 retails new for $699 but I have seen them used for about $500 or so. The sprout also has Bluetooth built in as well.  I also have the Denon PMA-600NE for my office system driving Gallo Acoustics bookshelf speakers and it is quite good as well— however the PS Audio is much better (and more expensive new). 

Schiit Ragnorak fully loaded
 awesome

3rd, the Yamaha A-S501 85 WPC + it's 4 ohm compatible which let's it be
used with a wider variety of speakers.

Like the volume control comments. I need 1 decibel increments. Also nice if volume display is dimmable, but may be getting a bit into the woods.