Where can a 13 year old work in NY
Unless your family owns a business or relative something of that sort to work under the table then nowhere as its against the law child labor laws.
try audition for something or at a fast food restaurant
Your mom's house
Hot dog stand
You can also try by going online. Try this website http://www.wealthyaffiliate.com/?a_aid=c9a999f6 it might help.
You can only do odd jobs like shoveling your neighbors sidewalk or walking dogs or lawn mowing in the summer.