Indian history has deep roots.
The earliest coins from native Indian people I found are belong to Kushan Empire (30–375).
You can find couple of them below as well as other ancient India civilizations like Chalukya and Mughal Empires.
In 1498, a Portuguese explorer Vasco da Gama arrived to India. It started European colonization of India. Hundred years later in 1605 Netherlands came to India. A bit later in mid 17th British Empire joined India colonization. In mid 19th India got independence Europeans.
Have a look on coins form Portuguese India / Dutch India / British India as well as Independent India.