No one that I know of flys non-stop New York - Taipei. You're probably go to connect in San Fransisco or Los Angeles first. China Airlines has direct service back to JFK with a stop, they show advance roundtrip fares less than $1,000 US. I'd check with American, Asiana, China Airlines, Delta, Northwest & United.
"When once you have tasted flight, you will forever walk the earth with your eyes turned skyward" Leonardo Da Vinci