Wow, read this book my Freshman year in High School, and still practically remember nearly every detail about it, more or less, even today.
And for the record, "Miss Haveshaim" (and Stella) did NOTHING for Pip except to torment him for their twisted pleasure. Throughout the entire story/book, you were fooled, or mislead to believe "Miss Haveshaim" was Pip's benefactor, when in fact it was Stella's father -- the convict who Pip helped from the onset.
There are a lot of "morals and values" (life lessons) throughout the entire book/story. But for me, what stands out is the "pure innnocence" (in Pip, a genuinely naïve yet pure of heart orphan) who not only aid a convict -- mainly out of fear, but also aspired to be greater despite all the odds, and then rising to meet and eventually fulfill those "Great Expectations". (Good begets good -- reciprocity -- is how and what I took away from this story.)
This is probably one of my favorite fictional book. One other that I can think off of the top of my head is Chaucer's "The Canterbury Tales".