Yes, you can play the movies you have bought/rented on your TV by installing the BookMyShow Stream app on your TV from the TV app store (currently available on AndroidTV, AppleTV, and FireTV). Alternatively, you can also cast the purchased movies on your TV from your phone using Chromecast or Airplay.
The casting option is currently unavailable for downloaded movies.
Remember to log in using the same contact details you entered at the time of buying/renting the movie.