Perhaps best to list a few of the places you've been to.
Anyway...
- USS Intrepid Sea, Air & Space Museum in the Hudson River is a nice one - if you're into this sort of stuff.
- Coney Island - but perhaps a littel cold these days.
- The Tenement Museum - about the lifes of immigrants
- MoMa - no further introduction
- Grand Central's Oyster Bar
- The New York Transit Museum
Just to name a few.
Menno
EDIT: almost forgot: the Museum of Moving Image in Queens: about TV and film. When my wife visited the museum there was a large Braking Bad display - I am not sure that's part of the standard collection or if it was a temporary display.
M