Help me find my ideal Stereo Integrated Amp

https://www.javahifi.com/review-product/integrated-amp-double

https://www.javahifi.com/review-product/integrated-amp-single

I have the single shot integrated and it's beautiful. It doesn't have the streamer but everything else and sounds wonderful too. Even the headphones amp is wonderful.

I will get parasound JC5 and HINT 6/ or P6 for less money 💰 meet all your requirements 

Hegel

Used Boulder 866!

Agree that the NAD is the only one that I know of the answers OP’s question

separates are obviously a possibility under many circumstances, but there are reasons why people may not choose separates

Used Simaudio 700 V2: 175 quality watts. 

https://www.usaudiomart.com/details/650067171-simaudio-moon-evolution-700i-v2-integrated-amplifier/

The gato 400s

wrong question, IMHO, for 10K why not separates?

Accuphase. 

Be Canto E1X. I’m looking at one now to replace my Bel Canto Pre-5 and ref 500 monoblocks. 

Thank you for directing me to the NAD unit. That seems to be the best candidate so far. 380 Watts is close enough at 4 ohms. Will wait and see if there are any other candidates, I could not find any myself (but was looking at the wrong brands, apparently). 

WTH do people continue to make recommendations that do not hit required targets?
Anthem:NO Streaming!
Hegel:$12,500.00,NO Phono stage!
Naim:LOW power & NO Phono stages!
OP: The only I/A I can think of that ticks ALL your wants is the NAD Masters Series M33 @ $6000.00 but the 4 ohm power doesn’t quite make your requirement @ 380wpc...

Anthem STR Integrated, 

The Hegel H600 should be a contender.  IMHO.

Check out what Naim offers. I think it may be the Uniti line.

Gato Audio DIA-400S comes close at about $5k with the network module upgrade. Only missing the built in phono preamp built in. Don't personally own one but have heard good things and been eyeing one for a while now.