Welcome and I hope you have a blast. How much you are willing to spend and have you seen anything that is currently on Broadway in the UK would help in responding.. Without knowing that, I would recommend seeing "Matilda", "Hamilton", "Kinky Boots", "Spring Awakening" and "Wicked". If you are coming in several months, then you may have a shot at "Hamilton" (mezzanine seats are the most affordable). The other shows should be easier to get tickets IMO.
As for sightseeing, so much to do but depends on your particular taste. You can't go wrong with many of the musuems (exp. Musuem of Modern Art) in NYC. I would recommend seeing the 9/11 memorial, very well done and moving. Walk in Central Park is a must if it is a nice day, stop by "Strawberry Fields" and see the John Lennon tribute. One of my favorite tours in NYC was the Radio City Music Hall tour, it is really cool. I also think it is neat to walk the Brooklyn Bridge, great view of downtown NYC and a great photo opportunity. If you are into Broadway and want to take a night off from a show, check out the schedule for club called "54 Below" which has some great concerts by Broadway performers.
As for eating, I would advise to eat your big meal of the day at lunch. Prices are cheaper in restaurants for lunch and then at dinner time you can do the cheaper things like pizza, hot dogs, deli sandwiches etc. For restaurant recommendations, this board would need to know foods you enjoy. You can find anything in NYC - lol. For convienance to Broadway shows, hotels in the Times Square area would be the best for you to see shows and get to subway stations to sightsee. They will cost you more money so if that is an issue, check out other areas of the city. There are websites like priceline.com and hotel. com that can help you with better prices. Regarding cash, that is a tough thing to advise you on. Obviously, you can use credit/debit card for anything but not sure if you get charged foreign transaction fees every time you use your card. In my opinion, I would bring at least $500-$1000 for a two week stay in NYC.
Hope this helps, others have more Broadway expertise than me so I hope you get a bunch of replies to help you for your trip to NYC.
Updated On: 9/13/15 at 01:49 PM