What digital cable between levinson 360s and 37?

Sorry to chime in so late, but I too am running the Levinson No 37/360S combo (feeding a No 32 Preamp).  During my trial & error period, I tried the Transparent Reference AES/EBU as well as Better Cables Silver Serpent and a 1/2 dozen or so other cables I can't remember now.  I reluctantly borrowed a Nordost Valhalla AES/EBU from my dealer and within a few minutes dialed him up to place an order.  Not a cheap date, but the Valhalla removed several veiled layers, improved dynamics, tightened up the bass, dropped the noise floor a ton and improved things in nearly every aspect.  That was about 10 years ago and I've never looked back.   

This is the one I like and use KLEI gZero3D SPDIF/Coax IC.  Even for digital, it sounds very analogue and organic in character and has been my preference for the last couple of years.

ATT glass is good, the only thing that can beat slightly it is a Vivanco KX-710 coax