These are the 5-star hotels we regularly use on a pilgrimage to India. We try to use these hotels, but may have to use similar ones:
4 nights New Delhi: The Imperial, or The Claridges,
3 nights Calcutta: The Oberoi Grand Hotel,
3 nights Cochin: Brunton Boatyard
3 nights Goa: Grand Hyatt Hotel
1 night Hyderabad: Novotel Hyderabad Airport Hotel