I vote for CX - I've not flown on that specific route in F but imho their F class service is better than SQ (better food, better wine selection) and I find the seat more comfortable and with more tasteful, restful decor in the cabin (SQ's beige leather and walnut burr looks nasty to my eyes). The only issue you might face is finding a flight with an F class cabin from HKG to SIN on CX.
SQ would be the second choice, followed by BA in third place.
ANA (NH) gets rave reviews for their new First class cabin, but you would need to check availability for the JFK - NRT sector - I'm not sure what they offer for the NRT - SIN legs. No idea about JL and QF don't fly that route.
[This message has been edited by Swanhunter (edited Dec 23, 2003).]