Most by Anthony Trollope have happy endings.
Trollope was prolific and tended to write long novels. Shorter possibilities, not part of a series, are Rachael Ray
and Dr. Wortle's School
. His most popular nowadays may be Barchester Towers
, the second in a series that begins with a shorter one, The Warden
Trollope's subject is men and women, especially as they are together -- seemingly an appropriate subject for you and your boyfriend to discuss
P.S. I agree with your boyfriend about Jane Austen.