Well would definitely second the Austen, I love Austen.
If you like Pride and Prejudice but don't want to actually read that again there is a whole host of books based on Pride and Prejudice, of variable quality. One of the better ones that is free on kindle this weekend is Mr Darcy's Letter by Abigail Reynolds. There is a bit of sex but not much.
Also, during November there are also some of these P&P inspired books for 99p that are usually £6.50 or so, and some of these are modern versions. I've just read Compulsively Mr Darcy by Nina Benneton, which was 99p, very much enjoyed it. Also, there is one called something like Fitzwilliam Darcy Rock Star. It sounds awful, and the cover is cheesy but I enjoyed that one too. There are sex scenes in both these books, particularly the latter, but they are not erotica, I would say they are romances. There is also a book called Lydia Bennet's Blog by Valerie Laws for less than a pound. I very much enjoyed that one, it's P&P from Lydia's point of view but written in a modern way, it reminded me a bit of Bridget Jones' Diary, but I thought the Lydia book was better, was very funny.
If you would be open to an older romance, hows about something by Jilly Cooper? She did a range in the seventies that I really like, the titles are all girl's names, like Emily, Prudence, Bella, Harriet, etc. Again, bit of sex, but less graphic than a more modern one.
Georgette Heyer did wonderful romances, entirely sex-free, mostly regency. Something like Friday's Child or Cotillion would be nice and light. Or perhaps The Grand Sophy, Frederica or Arabella. They are all good.
If we are talking chick lit I am a bit lost really, the only writer I've enjoyed is Liz Young. A friend recommended PS I Love You by Cecelia Ahern to me and it made me blubber like a baby, put me off a bit!