Who is it this season, or who was it most famously? The best known Indian themed ice dance program would be Meryl Davis and Charlie White's Original Dance from 2010. It's still one of my favorite ice dances of all time. Here's a video from their performance of it at the Vancouver Olympics: https://www.youtube.com/watch?v=rmouNXyMuQw
I think there was an ice dance team doing bollywood at Skate America. I'll see if I can find it. It might have been another year. I'll see what I can find while waiting for Ice Dance results.