First of all, a very happy birthday to Shahid Kapoor - my favorite Indian actor (as will be come apparent, soon).
Rajneeti may or may not have been the second movie I watched, but it's second on the list I've been generating so I will just go with it.
Rajneeti is a fairly serious drama about political corruption in India. Ranbir Kapoor stars as the son of a very powerful political family who returns to India to visit his family. On the day he is supposed to return to the United States, his father is assassinated. He vows revenge on the murderers and what ensues is a tangled and violent conflict. This was an interesting role for Ranbir as it allowed him to step outside the cute, boy-next-door roles that he's popular for and I was glad to see it. It also stars Ajay Devgan, who is in my top 10 list of Indian actors, but more on him later.
Here's the trailer for Rajneeti:
If you like political dramas, I highly recommend this one.