Leave the neon of Japan’s cutting-edge capital behind and ease into the calming ambience of Grand Hyatt Tokyo. The hotel is part of the upscale Roppongi Hills multiuse complex, and its public areas are infused with dark woods, 200 pieces of modern artwork, and dramatic lighting. Well-appointed guest rooms exude a contemporary Japanese simplicity with such features as deep soaking tubs and Frette linens. Global gastronomy ranges from French to Italian, from sushi to succulent steak, at ten venues, including acclaimed restaurant The Oak Door. The red-granite swimming pool at Nagomi Spa and Fitness is a standout.