Other stuff:

- I came across a link by the Princeton University Library which contains links to data on India. I have not gone through each one to see whether the data is available and if available then whether the data is free or not.

- The Open Government Data platform by the Government of India contains several demographic, economic, political and social indicators.

- Keep checking the Indian Council of Social Science Research

- I also found this image that describes the data available along with the data source.