I guess it's all a matter of opinion-- and I haven't flown in the new BF seat, but flew dozens of r/t's in BF in pervious years-- but I personally don't prefer CX or BA J-class' seating to CO's BF. I like the service and food better on CX, and CX's new J-class has it's charms, but I'd prefer a BF seat-- especially when it's crowded. F on any of these carriers, of course, is a different matter altogether.

I'd also agree strongly with MisterNice's points:
1. Conventional NC headphones do virtually nothing to attenuate loud passengers-- not what they were designed to do.
2. Bring your own NC headphones, earplugs and comfy eyeshade. I never travel without these items, despite that fact that they are always supplied in the F-class amenity kits.

Noisy, obnoxious neighbors can happen on any airline in any class, IMHO. In fact, QF F-class has supplied me with a couple of "we used ALL our miles to get here and are gonna' "enjoy" it to the fullest" once-in-a-lifetime types-- probably CO redeemers, not sophisticated OneWorld types . I'm talkin' about the loudest, dumbest, most selfish rubes you could possibly imagine. So, IMHO, just being on an international carrier does not guarantee well-behaved cabin mates.

Consider this thread, for example:
http://www.flyertalk.com/forum/Forum85/HTML/001286.html
(not for the squeamish)