Singapore Airlines frequently makes plenty of award space available towards the end of its booking calendar. If you’re searching 9 or more months in advance you have a good shot at finding a plethora of options. Right now though their award availability is exceptional across several routes, both from the U.S. to Asia and also from the U.S. to Europe.
For instance, San Francisco – Singapore non-stop has the floodgates completely open between July and October, not just for the normal 2 passengers where you’ll frequently see space but for many more than that.