I think that when you travel to Mumbai, this hotel is a must see. A landmark in its own right, the Taj was built in 1903 by a man who was not allowed in other hotels because of the color of his skin. He vowed to build the grandest hotel in Mumbai and surely he accomplished that goal.
People who have stayed here or graced these grounds are numerous and humbling. Duke Ellington, John Lennon, Yoko Ono, Oprah, Hillary Clinton, Barack Obama, and Ghandhi were all here.
I suggest staying in the Tower wing. It is newer and cheaper but most important it gives you an excellent view of the older part of the hotel which is stunningly beautiful.