The first Tagore Award for Cultural Harmony for the year 2012 was awarded to Ravi Shankar. Ravi Shankar was a renowned Indian musician and composer who played the sitar, a traditional Indian musical instrument. He is considered one of the greatest musicians of his time and has significantly contributed to the popularization of Indian classical music in the Western world.

Jasraj, mentioned in option 1, was also a well-known Indian classical vocalist, but he was not awarded the first Tagore Award for Cultural Harmony in 2012.

Nikhil Banerjee, mentioned in option 3, was a prominent sitar player as well, but he was also not awarded the first Tagore Award for Cultural Harmony in 2012.

Bhimsen Joshi, mentioned in option 4, was a legendary Hindustani classical vocalist, but he was not the recipient of the first Tagore Award for Cultural Harmony in 2012.

Therefore, the correct answer is option 2, Ravi Shankar.