'Nother person without a solid sense of gender as a child. Gender norms were also not enforced very strictly by my parents, so I was mostly allowed to like "girl things." A lot of the things I liked were not "girl things" OR "boy things," though, so I guess I was just kind of weird. I liked sciency things when I was very young, but when I got older I started reading fiction a lot more. Most of the authors I like have been women (at least outside of science fiction which is male dominated). I remember specifically being told that I would not like some books that I actually liked a lot because only girls liked those books.
I remember liking girls more as a child too, but that was mainly because they tended to be nicer to me. I liked to be active and pretend things, but I wasn't big on "take care of the baby" stuff (we practically are babies already so why bring more into this?). I remember in preschool trying to liven it up ("quick, save the baby! there's an earthquake!" and being told "leave the girls alone." I ended up doing a lot of things on my own, which I guess has been a lifelong thing for me. Individual friends, when I had them, might be male or might be female. There are probably more women that I like but socially it's easier to become friends with men.
As I got older I learned more about gender roles. I thought a lot of it was stupid and I didn't really want to try to live up to either of them, but I also identified more with women more and wished I could be like them. I told someone this and she told me that girls were mean to each other and I should be happy to be a boy. Probably girls would have been meaner to me if they had seen me as a girl, but I doubt it would have been worse than what I went through (plus people liking me wasn't really the point). I also started saying that I thought it didn't make sense for women to have to shave their legs.
One thing that discouraged me from considering myself trans is that I didn't wholesale identify with women, internalize gender roles for girls, etc, and in some ways I was very much like a typical boy. I'm still not sure how I feel about it. I think if you're being pushed to approach things in a certain way, though, you're more likely to find some of the things within in that bundle that fit who you are. Pretty much anyone is bound to like SOME "boy things" and SOME "girl things."