I understand what you're asking, mamakat, but I'm beginning to see less gender in fragrance because a lot of things fall into a middle category. Being new to this, it was something I "worried" about at first. Now, not so much. Which doesn't mean there will be a lilac sillage surrounding me anytime soon. But you never know!

Half the stuff in my cupboard is probably considered "men's" cologne. The other half, I don't know if it's men's/women's/neutral. I read the descriptions, found some reviews by people who used it and decided whether or not to buy it. Half my cupboard could be "women's" colognes. That's OK.
For example, I would consider Gray Flannel or Burberry Brit to be a man's scent. But I've smelled them on women - they smell the same and can work. There is an indefinite of being able to "pull off" a scent. I know several women who can wear men's frags that I couldn't wear.
I would consider Chanel No. 5 to be a woman's scent but have known of men wearing it.
Then there are the "niche" frags like CB I Hate Perfume which don't seem to identify by gender at all.
To my mind, citrus and spice tend to be gender neutral areas. But then you get into floral citruses and spicy leather and things get more complicated.
Then there's incense and sandalwood and rose. All of which can be any of the above.
A lot depends on what you like and what your personality let's you get away with.