As noted in previous posts, aunts/uncles/cousins CAN inherit, subject to certain special rules.

During a kinship trial, cousin claimants not only have to prove their relationship, they also have to dis-prove the prior classes.  Specifically, they have to prove that the decedent died without a spouse, children, grandchildren, parents, grandparents, siblings, nieces/nephews.  It can be

If a person dies without a Will, and the closest relatives are aunts, uncles and first cousins, do they inherit in New York?

The answer is YES, but there are some special rules. Aunts, uncles and cousins can inherit if there is nobody in the prior inheritance classes (spouse, kids, parents, siblings, nieces or nephews).