This is the 12181st most frequent Russian word.
индийским
"Indian" (adjective, relating to India).
In this sentence, 'индийским' is used as an adjective in the instrumental singular form. It describes 'карри' (curry), indicating the type of cuisine being referenced.
Мы наслаждались индийским карри.
We enjoyed Indian curry.
Here, 'индийским' is again an adjective in the instrumental singular form. It modifies 'кинематографом' (cinema), specifying its origin or style.
Он увлекся индийским кинематографом.
He became interested in Indian cinema.
In this case, 'индийским' is used as an adjective in the prepositional singular form, complementing 'культуре' (culture) and identifying it as Indian.