The Fitness Center at Shoreditch House
The fitness center at Shoreditch House is recommended by those who travel for a living. Of the 6 reviews tracked on TripExpert, 2 acknowledged the fitness center, like Lonely Planet and Zagat.
Shoreditch House 
Lonely Planet
Zagat
Lonely Planet "Guests get to use the gorgeous rooftop heated pool and gym"
Zagat "Primarily a private members’ club, this East London property set in a former biscuit factory does offer a limited number of hotel rooms to nonmembers, who are allowed access to its restaurant, pool, gymnasium and rooftop bar"
