I’m looking for an sleek integrated amp under $15k

If you want a nice display on the unit Cambridge Naim and HiFi Rose are the go tos. The Hifi Rose integrated probably stands out if video will be part of your game.

I think Rotel just came out with something along those lines but may not be much info out there about it yet.

Oh and I would also consider NAD m33.  The room correction that comes with that can be a game changer.  
 

I went through similar choices recently and landed on the Canbridge Evo 150 and love it.  Originally I was looking at the m33 but went with the Cambridge which cost a lot less and actually had more input and output options I needed.  But the extra power of the m33 is a plus as is the room correction. 

Sleek not slim. That unit is pretty ugly IMO Lol 

But you think the Naim Unity Nova is good looking?  Seriously???  

Maybe you are just baiting us with that price and then wanting features but not even mentioning musical quality.  Really the display and slickness do not necessarily go coincident with amazing sound.  Someone Mentioned the Boulder.  The Audionet Watt sounds great.  The Soulnote A3.  You might be better with an external DAC.  There are many others Moon...but save money if all you want is cool display and a pretty face..

As a ex audio dealer ,that is not a sound request , for many reasons 

separate allow much better isolation power supplies, digital separate streamer,dacs  

for digital has advanced a lot ,innuos has very good entry level SS HD,streamer 

with excellent interface , you can add the LPS later , the T+A A200 dac-Preamp 

which has excellent galvanic isolation in every area dac as good as Anything  up to $15k+ the preamp is a excellent class A discreet type in the$5-6k class pick a decent power amp, Coda very good with discounts $5k as a example .

my point separates give you future flexibility.

You should be able to get a Gryphon Diablo 300 with DAC option at $15k as the new 333 is out (or coming soon).  It is one of the best integrated amp at this price - lotsa power.  It will blow away the Naim. What speakers do you have?