Here are the places of interest in New York and how to get to them from Times Square by public transportation.
Battery Park: ride Subway Line N to 14 St - Union Sq Station then transfer to Subway Line 4 to Bowling Green Station then walk to Battery Park
Central Park: ride Subway Line N, Q or R to 5 Av - 59 St Station
Children's Museum of Manhattan: ride Subway Line 1 to 79 St Station then walk 4 blocks towards 83 St
Chinatown: ride Subway Line N or Q to Canal St Station
Chrysler Building: ride Subway Line 7 to Grand Central - 42 St Station corner of 42 St and Lexington Ave
Discovery Times Square: walk to 44 St between 7 Ave and 8 Ave
Ellis Island: ride Subway Line N to 14 St - Union Sq Station then transfer to Subway
Line 4 to Bowling Green Station then walk to Battery Park to board
Statue Cruises going to Liberty Island and Ellis Island
Empire State Building: ride Subway Line N to 34 St - Herald Sq Station then walk to 5 Ave between 33 St and 34 St
Frick Collection: ride Subway Line S to Grand Central - 42 St Station then transfer to Subway Line 6 to 68 St - Hunter College Station then walk to the corner of 5 Av and 70 St
Grand Central Station: ride Subway Line S to Grand Central - 42 St Station then walk towards Park Ave
Ground Zero/World Trade Center site: ride Subway Line R to Cortlandt St Station
Ground Zero Museum Workshop: ride Subway Line 1, 2 or 3 to 14 St Station then walk along 14 St between 9 Av and 10 Av
High Line Park: ride Subway Line 1 to 23 St Station then walk along 22 St between 10 Av and 11 Av
Intrepid Sea, Air and Space Museum: walk about a mile along 42 St to 12 Av then walk along 12 Av to Pier 86 in the corner of 46 St
Madame Tussaud Wax Museum: walk from Times Square - 42 St Station along 42 St between 7 Ave and 8 Ave
Metropolitan Museum of Art: ride Subway Line M from 42 St - Bryant Pk Station to Middle Village - Metropolitan Av Station then walk along Metropolitan Av towards 65 Ln
Metropolitan Opera House: ride Subway Line 1 to 66 St - Lincoln Center Station then walk to Amsterdam Ave between 62 St and 65 St
Museum of Modern Art: ride Subway Line Q to 57 St - 7 Av Station then walk to 54 St between 6 Av and 5 Av
Museum of Natural History: ride Subway Line 1 to 59 St -
Columbus Circle Station then transfer to Subway Line B to 81 St - Museum
of Natural History Station
Ripley's Believe it or Not Museum: walk from Times Square - 42 St Station along 42 St between 7 Ave and 8 Ave
Rockefeller Center: ride Subway Line 1 to 50 St Station then walk 2 blocks towards 5 Ave
SoHo: ride Subway Line 1 to Canal St Station
St. Patrick's Cathedral: ride Subway Line 1 to 50 St Station then walk along 50 St between 5 Av and Madison Av
Statue of Liberty: ride Subway Line N to 14 St - Union Sq Station then transfer to Subway Line 4 to Bowling Green Station then walk to Battery Park to board Statue Cruises going to Liberty Island and Ellis Island
Tenement Museum: ride Subway Line M to 34 St - Herald Sq Station then transfer to Subway Line M to Essex St Station then walk along Delancey St between Essex St and Allen St
Top of the Rock: ride Subway Line N, Q or R to 49 St Station then walk along 50 St between 5 Ave and 6 Ave
New York City Subway Map: