In my second week, there was a day long city tour organised.
The campus features a basketball, badminton, and cricket court. Furthermore there is a gymnasium. There you can attend yoga classes and there are several workout machines. I found it very difficult to meet any Indian students apart from a few classmates I had. I mostly hung out with the other exchange students.
The city has many things to do! You can go out to bars, restaurants, malls, etc.The campus is in a residential area of the city. It takes about 30 mins to Colaba and Bandra, and about 45 mins to an hour to go to Andheri, Powai, or the airport. Perhaps 10-15 mins to Vashi. Overall, it is well connected, but there isn't that much to do in the neighbourhood itself.
The university is a very left winged, opinionated university. There are many students from the lower casts. Many of the students at TISS are engaged in social activism. There are usually lectures to attend on all these topics.