I can try and offer you some insight here as I just returned the Classics and now have the Denons.
I find the sound quite similar actually - they are both on the warm side, but offer good detail. Perhaps the Denons are little more open - slightly wider soundstage.
I really liked the Classics, until I heard the Momentum 2.0s which for me were more detailed, but something wasn't quite right about them so I sent them back too. They did give me the impression that the Classics in comparison were a tad muddy.
I have now had the Denons a day and am listening to FFD now through them and I find them to be exactly what I wanted (I do tend towards a slight warmth rather than a complete neutrality). That said, on relistening to Grace by Jeff Buckley, I found the Denons to be a little disappointing - they suppressed his perfomance somewhat. Now that could change with burning in, so for the next days I am going to leave them on and I will revisit that track during the course of today and tomorrow.
In short, I loved the Classics sound, until I heard the Momentum 2.0s, although they didn't put me off them that much. The comfort problems with the Classics were my main issue. So far, I feel the Denons are very similar to the Classics.