While I can't say that Jane Austen is one of my favorite writers, she's certainly one I enjoy reading.
I think my favorite of all her books is Persuasion. The main character, Anne, is older than the other heroines from Jane Austen books, being already 27 years old. I like how Jane Austen made her a quiet girl who has 'already lost her bloom'. She not loud and outspoken like Elizabeth Bennett nor medlesom like Emma, but filled with a quiet, determined strength that I came to admite and really appreciate.
The relationship between her and Captain Wentworth is also a great love of mine. It's nice to see not new love, but old love that didn't work out try to rekindle itself despite all the hurts and wrongs and grudges of the past.
I enjoyed the 1995 film version of Persuasion, I didn't like the other one very much. It didn't follow the book as closely. (Yes, I'm a book purist...it makes watching movies such a difficult affair.)
I do of course very much love Pride and Prejudice and Sense and Sensibility. I think of all Jane Austen's book Emma was the most boring for me. Mansfield Park is a great favorite of mine and the youth, slightly immature attitude of Catherine from Northanger Abby was fun, and I like how she had such a wild imagination from reading too much gothic novel.
I think I have seen as many screen adaptions of Jane Austen books as there are. And I tend to like the older versions more. That goes for Pride and Prejudice, where I so prefer the 1995 mini series to the 2005 one. Persuasion I already mentioned, and Mansfield Park I love the 1983 mini series. There is a film that follows the book to the core. Though it was boring for the rest of my siblings, haha, not enough action
Sense and Sensibility I actually liked the BBC version more, also because it followed the book so well and Northanger Abby I also preferred the 2007 movie. Very good cast and acting.