New York is about 8,734 times bigger than Cocos (Keeling) Islands.

Cocos (Keeling) Islands is approximately 14 sq km, while New York is approximately 122,283 sq km, making New York 873,350% larger than Cocos (Keeling) Islands. Meanwhile, the population of Cocos (Keeling) Islands is ~596 people (19.4 million more people live in New York).
Tip: This to-scale comparison of Cocos (Keeling) Islands vs. New York uses the Mercator projection, which distorts the size of regions near the poles.