My relationship with my parents is just about as good as one could hope, considering that I've been living in their basement for almost three years!
I can ask my father anything, especially about language or religion and get an serious, in depth answer. I usually end up getting more of an answer than I bargained for, too. When I was beta reading a novel for a friend, I went to him for grammatical input and clarification. I kept him up an hour or two past his normal bedtime, but he was happy to help.
I remember that, as a teenager, all my church teachers knew that my father was an authority on religion and would frequently look to me to answer the hard questions. In spite of having a fairly decent knowledge of religious topics due to the trickle-down effect of living with my father, I wasn't an encyclopedia of doctrine. I wish I had told them so. ;)
My father is a romantic, a poet and a short story writer. He's a jokester and when you get him laughing, his humor can be contagious.
My mother is the grounded one. I always knew that if I looked at my mother's face when my father was telling a story (or a tall tale), I would be able to tell if what he was saying was completely true by the expression on her face. She can tell a good joke too, but her humor is usually subtler and requires a bit more thought to "get it".
I can ask my mother questions about life, relationships, health as well as many other things and get a well thought out response that comes from years of experience and wisdom. My mother is an old-fashioned romantic; where men should always be gentlemen and women should be ever graceful, kind and tender. I think if she had been born in another time, she would have been in a Jane Austen novel.
I inherited several qualities from my parents. My long-windedness, I get from my father, as well as my love of fantasy and ridiculously impossible movies. From my mother I get a fondness for romantic movies, patience and a compulsive eye-roll at lame jokes.
Of course, there is so much more, but, in a nutshell, that's about it.
I love and respect my parents and am glad for the time I've had recently to get to know them better as an adult.