I'd like dramas on my list to show up on my Google Calendar.
Based on https://webapps.stackexchange.com/questions/388/how-to-allow-google-calendar-users-to-subscribe-to-my-websites-calendar-event it should be enough if you publish a user's watch calendar in iCal format somewhere publically. Google will automatically update the calendar events then. But it's a very old thread, not sure if that still works.