I found the dances by performing a quick Google search after happening onto the news of veteran Odissi dancer Minati Mishra being one of the recipients this year of the Indian Padma Shri award (here's video of her accepting the award - what a fancy ceremony!). 2012 has indeed been the year of ridiculously amazing discoveries on this blog!
Below are the wonderful, rare dances, uploaded by YouTuber hellodebabrata. It's incredibly rare to see such classical Odissi in Indian films, though I suspect there is likely some filmy license taken such as increasing the speed and other minor deviations. But given how respected a dancer Minati was, I assume the alterations are minimal. Surely there are more of these wonderful dances hiding in the archives of Oriya cinema (such as Baje Bainsi Nache Ghungura from my Holy Grail post). Occasionally there is a disgraceful bar/graphic that appears, but it only last a few seconds!
Namami Bighnaraj - The most classical of the bunch, this dance begins with the dancer's invocation of offering flowers before beginning her performance. The first half features a good amount of expressional dance/abhinaya whereas the second half offers plentiful pure dance flourishes! The hallmark Odissi poses, like the tribhangi and chauk, are clearly evident. Only downside is this song has no english subtitles, boo!