I just finished this and found it very entertaining. I don't think it makes into my top 5 favorites but it was a good one to watch.
The story follows Rin Okumura and his brother Yukio. On the day that Yukio is to leave for True Cross Academy, a school that trains people how to become Exorcist, Rin learns the truth about his past and why his father wanted to keep that truth from him the hard way. He then decides to join Yukio and become an Exorcist.
It's a good story about trusting your friends to have your back. It's also about not being able to choose who you where born, but being able to your own path in life. Most importantly it's about family and doing everything you can to protect them.
There wasn't a second season, but there was a movie. The movie was good and I really recommend watching it after you watch the first season. I'm disappointed that their isn't anymore of this show. Because like I said even though I wouldn't put it in my top 5 I did enjoy watching it.