Definitely gotta go to Katz’s. And I think I would work in a trip to Jacques Torres’ Chocolate Haven (http://www.jacquestorres.com/hotpress.html). The nova salmon and eggs at Barney Greengrass was SO good. Don’t forget to get a hot dog at Papaya King.
MOMA is also a must see and I am glad that it made your list. But the Metropolitan Museum is also absolutely fantastic. I am also partial to the Cooper-Hewitt (http://ndm.si.edu/).
If you are into shoes, you must walk 8th St. in the Village.
I never really liked the pretzels in NYC. But I loved the knishes and falafel. YUM!
Have fun Nemis! And report back!