At Taj Mahal Palace Mumbai, above, the third floor Rajput Suite hosted John Lennon, and Ravi Shankar. Bombay Blazers (Bombay Sapphire, rosé, guava juice) on its balcony overlooking the floodlit Gateway of India arch. A private 45-minute historian-led hotel tour. Hotel lobby check-in for the Maharajas Express train - 220sq ft suites, Wifi naturally, six nights to Delhi, six nights, via Udaipur, Jaipur, Agra’s Taj Mahal.