Agra

Although it is not an Indian city that I would recommend, you should go there to visit one of the great wonders of the world. What I did find very quaint and attractive was the number of businesses and the trade taking place in the street. There I took my first train in India and it was a surprising and intimate experience.

Great place to visit in winter when the weather is not that hot. Taj Mahal is the top attraction but remember that it is closed on Friday.