The Cloisters
New York, NY 10040
Cross Street: M. Corbin Drive
Phone: (212) 923-3700
Price: Adult $12; senior/students $7
citysearch
Beautiful museum. Worth the trek!

The Guggenheim
1071 Fifth Ave
New York, NY 10128
Cross Street: 89th Street
Phone: (212) 423-3500
Price: $15
citysearch
Go see the building even if the current exhibit doesn't interest you.

Statue of Liberty/Ellis Island
Battery Park and Liberty State Park
New York, NY 10004
Phone: (212) 363-3200
Fax: (212) 425-2215
Price: $10; $8 seniors; $4 children 4-12.
citysearch
Good history lesson. Get there early. Waits are very long.