Well, my mother is what I assume an ENFJ and my father seems like an INFJ, yet also has those ISTP characteristics for some reason. I don't think he is one, since...I can't really describe why, but ANYWAY.
I grew up with my older brother (ENFP/ENTP/I have no idea what he is besides a pyromaniac) and my younger sister (INFP). Let's start with my mommy.
Mommy isn't exactly your typical ExxJ parent. She wasn't really strict in the sense of all-work-no-play. Not at all, in fact. She did want us to do well in school, but wasn't the kind to get upset if we failed a class she knew we worked hard in. She did keep us nicely structured, but I must admit she was a little...Protective. Mama would constantly feel uneasy if I hung out with a friend she hadn't properly analyzed, compared, and judged with her mother skills.
She kept us little rascals well-fed and happy all the time. I'm so glad she was never the kind to scold for overeating or being hungry. She once said that if there's food, it is to be eaten, and by who it doesn't matter-- except when it comes to chocolate. No one. Touched. Her. Chocolate.
We were also entertained with the glorious contraptions known as bikes.
But. My mother meant well. Thanks to her extroversion, we often went on camping trips with our cousins during the summer, and she always had things planned to keep us busy. Sometimes, it was a little much, but mom understood my and my sister's need for alone time, and didn't bother dragging us out of the camper when we needed it. Since both of her parents were introverts, I suspect that is why she wasn't as strict and controlling as ENFJs are made out to be.
Now for dad.
I'll just start off by pointing out my papa's stereotypical ISTP tendencies. While my mom would plan the camping trips, my dad would go out and buy us all new equipment and such. He always took my brother and sister fishing, since I don't have much of an interest in it. But he wouldn't usually take us out with a gazillion other people. It'd just be one of us and him, unless we wanted to tag along. He's very introverted and reserved, which made a lovely contrast to my mother's bubbly personality. I fondly remember him taking me on a hiking trip just so I could take pretty photos for a project.
But back to being an INFJ. Him and I would constantly talk about conspiracy theories, and he had/has tons of books about those kind of things that make me sit on the edge of my seat! He still is like that, even as he grows "older". (He's only 45.) I didn't have a super close relationship until I was 10, however. I can't really place why, but I can assure that he was still very much a good parent. He was structured, like my mom, but not overbearing. I do not remember a single instance where he raised his voice at any of us. He had that whole "counselor" thing going on. Quickly trying to discover answers to even the simplest of his children's problems.
I think the biggest downside with him was his way of sometimes being a sideline parent. It almost seemed like he wasn't always there. Luckily, when he was, it was memorable! That feeling of being a ghost-like parent was mostly gone by the time I was 13.
The way they have shaped me is a tad difficult to explain. If MBTI types are relevant to genes, I definitely got my I and N from my dad. Similarly, I likely received my neatness from my mom. Or, to be more blunt, my OCD. Everything must be clean and orderly, but not feel like it isn't lived in. To be short, our environment at home should be simple, while our minds are complex. Yeah...Let's go with that.
I learned a lot of life lessons from both parents. My mother taught me the importance of eating healthy, keeping your word, and daily, practical things like that, whereas my father taught me the majority of my mental and emotional growth. Both are just as quintessential as the other, and I do not feel as if my mother's lessons were any less important than my father's. She also had her fair share of insane concepts and wacky knowledge.
I love my parents. It breaks my heart to know that there are millions of kids out there with bad relationships with their's, or who have abusive ones. My mom once said to me she's "holding my anger for the day I come face-to-face with a bad parent." Go mom!