There are new fares in I class being offered at the moment through summer ex ICN. They are currently through the CX office, rather than online. Not quite as good as the fares until 30JUN, but for summer not too bad.
LAX/SFO --- KRW3348000 plus taxes Approx 2540USD
NYC --- KRW4278000 PLUS taxes Approx 3250USD
EUR (cx operating ports) -------- krw3255000 plus taxes Approx 2470USD
The BKK and SIN fare of 850000-950000krw is on through summer too.
For what is worth, the AY fare to Europe for summer, if booked by the end of April, in I class is about 2000USD, with the higher fuel surcharge. I am not sure if I should take the AY flight, and save about 300USD per person (the difference to FCO on the dates I want, inclusive) or pay to take CX- any thoughts?
I will keep people informed if I hear of any other cheap flights ex ICN