Okay, You don’t want Austen or Gaskell and others have already suggested Dickens. I’m going to suggest a few books that thoroughly intrigued me even though some of them are actually intended for children. I don’t think these would be considered classics, but you might enjoy them as I did.
Tuck Everlasting (Would you really want to live forever?)
The True Confessions of Charlotte Doyle (This is an Adventure on the High Seas)
Seven Sons for Seven Daughters (Arabian Legend)
Cotillion by Georgette Heyer (novel that I read recently that was on kindle)
King of the Castle by Victoria Holt. (However, I would not recommend other titles by this same author. King of the Castle, if I remember, is set in France after the Revolution. The story is of a young lady who goes to live in a castle where her job is to restore the painting that had been damaged in the revolution. She is also governess of the naughty little daughter of the house.)
Besides the classics that everyone knows a great deal about, these are some of the most enjoyable books I have ever read.