I have listened to both- but not side by side, so this may not be of much help because it depends on what speakers and other gear you use- along with your room size, music preference, etc.
That said: The B60 is QUIET. Dead QUIET. It also offers a balance control. If you want to record one source while listening to another, you can do that on the Integra- but not on the B60.
Both sound very good. The Bryston has better resolution and more of a damped sound. The YBA has a slightly less damped sound. Neither are tube-like, despite what others say about the YBA. They are both at the top of the class as far as ss integrateds.
If you already have speakers you like, then try to listen to both at home. If you're starting from scratch with a new system- I would pick the Bryston and simply buy speakers that compliment them. That 20 year warranty is really worth a lot.
good luck,
WEEZ