Looking for a hybrid integrated to do it all!

If you can find a used Peachtree Grand Integrated X1, it ticks off most of your boxes, sort of.  It has a tube buffer and is Class D amplification.  I like the newer Peachtree Nova 300 better.  It has a really good DAC and a decent phono stage and takes up a lot less space than the Grand Integrated.  No tubes though.

I recently bought a Vincent SV 237 integrated, which is a true tube/solid state device.  The preamp section is tubed and the amp section is class AB with the first 10 watts in class A, 150 watts at 8 ohms, 250 at 4 ohms.  It does have a USB DAC, but I've never used it and have no idea whether it's any good or not.  No phono stage.  It does have a remote.

See the Vinnie Rossi L2i ‘Signature Edition’ Integrated Amplifier link below:

https://www.vinnierossi.com/l2-se-integrated-amplifier/

"The L2i-SE is our response to “what if?” What if we could combine our L2 Signature Preamplifier and L2 Signature Monoblocks into one chassis but with absolutely minimal concessions to design and performance? Could we still offer all the flexibility, build quality and stunning appearance to truly stand in a class of its own? The L2i-SE is Vinnie Rossi’s realization of that dream.Unlike the L2 Integrated Amplifier (L2i), which runs a simpler 6SN7 linestage, the L2i-SE inherits from our L2 Signature Preamplifier the direct-heated big power triodes. Only one pair of the finest sounding 4-pin, directly heated triodes (DHT) are run in a dual-mono, class-A, grounded-grid topology with zero feedback. They feed a true dual-mono, high-bandwidth class-AB MOSFET output stage making the L2i-SE a DHT hybrid integrated amplifier and likely the only one of its kind in the world! L2i-SE  Features (Linestage)

• Vinnie Rossi’s latest Class-A, ultra wide bandwidth directly heated triode (DHT) preamplifier design, compatible with: 2A3, 45, 300B, PX4, 101D, 205D, and SV811 DHT families with one-switch filament voltage selection
• Dual-mono layout using multiple patented Belleson super regulators for ultra-quiet linear voltage regulation of the triodes, and the (optional) L2 DAC and L2 Phonostage modules
• Discrete, 64-step resistor ladder volume control using Pickering England silent signal relays
• True active balanced (XLR) and single-ended (RCA) line level inputs and preamplifier outputs
• Internal “DHT bypass mode” switches (replaces DHT stage with a Class-A JFET stage)
• Yamamoto solid Teflon UX-4 tube sockets
• Mesh tube covers for added noise shielding and tube protection
• Included tubes: EH300B Gold-Grid (matched pair)
• Full-function aluminum remote control handset".

I heard the Vinnie Rossi L2i ‘Signature Edition’ Integrated Amplifier at THE Audio Show and it sounds excellent.  I do not own the unit and suggest you give it a look.  I think it has most of your requirements.   

All of these enthusiastic responses indicate that integrated technology and performance is exemplary. I've both separates and integrated and with the former, it's all about the pre-amp. With the latter, it's all about the pre- end of things. Maybe contact Larry Staples (Lursky here on audiogon) or atmasphere here on audiogon to get their views?

I build hybrid power amps but if you want an all in one go with Vinnie Rossi plus he is a very good guy.

There are some decent ones but the new Krell K300 is natural ,warm ,dynamic and class.  A  Ibias circuit 150-300 wpc 
very respectable dac, hdmi inputs and outputs spdif, optical, to play all your great movies concerts , as well as picture sound great 5 star , A rateing,and not too bulky can be bought for around $7k with discounts .without question the best integrated under $10 k 
nothing mentioned on these pages is as musical , and so  versatile. Just check it out go hear it in person ,start by reading 
all the great reviews ,and it also has a app streams all top services 
as well as Flac,wav and other files.