Which one is the best INTEGRATED!!

My system 
Focal speaker
Esoteric source

I am going to buy a new one but I am not sure about them all which one I should buy.

Here is my integrated list
Karan KA I180 MK2
Accuphase E650, 600
Jeff Rowland Con S2
Burmester 082
Pass labs INT250
Audio Research VSi75
Gryphon Diablo300

I would definitely say the Gryphon Diablo, I know it well and will say that it would be a great middle for your source and speakers. I have heard it with the Esoteric 3 box system and Gryphon Pantheon speakers awesome is the only word I can come up with. It can also handle any kind of music you care to throw at it.
+1 jim204.

@loreaor, if you take the time to read the Audiogon Forum below it should answer all your questions plus some.
You did not state your budget  his loud you play ,speaker efficiency.

Fm acoustics , Ensemble -Swiss made great and priced under $10k, Audio Archon.sells Ensemble., 
I’m in the same spot.   I have Focal Sopra 3s and just ordered a Gryphon Diablo 300.  Should be here in a few weeks.   I’ll let you know how it sounds.   Hopefully there is good synergy.
I'll take Gamut D150i over most of the ones mentioned.
Add Bel Canto Design Black EX ACI600. 
I'm not a intergrated guy buy if I were I would at least look at the McIntosh MAC8900. 300watts per channel. All the connectivity you will ever need. A Swiss Army knife of a Intergrated. MC and MM phono. Plus when you want to move on easy the sell and holds its value.
The Rogers EHF-200 is a great sounding thing I've actually heard, and I know somebody who has one and digs it. Lifetime guarantee, made with fancy parts, and looks like an old toaster. Expensive, but life is short.
Why no mention of Mark Levinson? I have 532h amp and it is Class A rated, I love it as it sounds very good and buttery smooth vocals.  I have read and talked to people that think their Integrated amps are excellent, very highly rated. 

DarTZeel is the best I've ever heard. 

For tube, I believe Vac is updating their Sigma.
Well, for more fun I'll mention Ypsilon and Absolare. I won't mention Kondo.
Dartzeel CTH-8550 as cited above. Have seen one or two used ones for sale in the 10-12k range. Built to outlive us all. 
I don't see how people can make recommendations based upon the info presented.  You don't know what Focal loudspeaker he has and the list of integrated span 30w to 300w.  Nor are any sonic preferences stated.  We also don't know where he is so we don't know what kind of manufacturer/distributor support is available.  Do any of the above posters really think they helped this person?
Based on the lack of information provided by the OP I think he probably has more information than he had originally however you bring up some very good points. I guess the same could be said for all the guys that ask open ended questions with out all the facts we need.
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Interesting that you used the word "best". My best is probably different to your best. At his price point, I don't think there is a "best" integrated. Just what suits you. They all have slightly different sound and different capabilities in terms of  connectives, Dac integration, AV bypass, balanced and unbalanced inputs, ability to drive low Independence. 

Listen to as many as you can and let you ears be the judge. I am biased of course - as an owner of the Diablo 300 with added Dac option. However, I do one more to be added to you audition list:





Monoandstereo.com has both the Analog ISIS and Diablo 300 reviews and the author prefers the ISIS even though Diablo has won heaps of rewards.  Just goes to show everyone is different.
The best integrated is, of course, the one I mentioned.
I prefer the one is Class A integrated amp.
The Belles Virtuoso Integrated. About to be released in March. Cost is at $6500.00. David Belles is a rare genius in high end audio. You will be hard pressed to find any integrated on planet earth at $20K or below that even comes close to Belles. The richest, most musical solid state designs currently in the U.S.A. Will get you closer to the magical quality of 
tubes without the maintenance of tubes more than any other solid state amp. The quality of parts are rare to find anywhere in his designs and his phono boards are absurdly state of the art and sound so good you will never even think about an outboard phono preamp. I recently sold my latest audio system and will be purchasing the Virtuoso this March and will match it up with speakers such as certain SE models from Tekton or the D9 from Spendor, but I am leaning heavily towards Spendor given their reputation and sound quality during the past 40+ years. The D9 is very neutral and sound is towards the lean side and matches up very well with gear on the warm side which Belles is known for. 
Check out the Belles Virtuoso on their site at www.powermodules.com 
Very powerful unit putting out over 200 watts per side into 8 ohms.
American made to the highest standards.