I like them all, but of course Pride & Prejudice is everyone's favorite. Sense & Sensibility is probably my next favorite after that, then Emma, which is loads of fun, and Persuasion are about equal to my mind. Mansfield Park and Northanger Abbey are OK, but probably my least favorites. Lady Susan, I didn't even know there was a Lady Susan until years after I had read all the others; it's not that great, but an OK read, too.
Jane in THS is not much like Fanny in MP to my mind, because Jane starts out sort of rebellious and demanding her independence -- while Fanny is always shy and retiring and nearly always willing to rely on the judgment of Edmund or her uncle or aunt; she never demands her independence except in the one really important thing to her, which is her refusal of her unworthy suitor -- and then her stubborness, although condemned by her family, is presented in the book as a great virtue; she suffers for it. But Jane in THS, her demanding her indpendence is presented as childish and something she must overcome in order to discover her truth worth as a servant of God. And to my mind, Fanny's acceptance of Ed is a marriage of equals (Ed went gaga for the wrong girl but throughout he is presented as the virtuous one whose compassion and good sense helped educate and form Fanny's mind). But Janes acceptance of Mark in THS is more or less a woman's forbearance; there is no virtue on Mark's part at all that she should receive him back; it's all on Jane, and she does it with humility, understanding that there was no virtue on her part which made her acceptable to God, so she will accept Mark despite his mistakes and mis-steps, just as God has accepted her.
This is my thought; I do not see much of a parallel here.