You want top ranked business schools that are easy to get in? No such thing. Some very well respected schools include Cornell, NYU, and Columbia. If you don't mind going out of NY but want to stay in the east coast, then you can look at UPenn, MIT, Harvard, or Yale. Good luck!
In New York, you come across more artsy schools that focus around the arts, journalism, engineering and, world affairs/sociology, etc.
Columbia University, which is Ivy, would be an excellent choice although business is not one of their best in criteria.
NYU is fantastic but again, it is more centered around the arts.
Cornell (i think it's Ivy) is out of the city, if you'd like to check them out too!
hope i could help!
btw: if you're interested in business, try internships or little jobs on 'Wall Street' or at a big business you're interested in. Volunteer work and things like that can help your chances into any given field of business. good luck!