Unisex or androgynous styling isn't new. The flappers commenced the trend in the 20's when they cut their hair in a boyish fashion. Fast forward to the 60's, 70's and 80's, and a whole new generation of unisex style starts germinating.
In the sixties, hippies wore long, unkempt hair and tie-dyed shirts regardless of gender. In the seventies, the disco made it ultra hip for men and women to wear bell-bottom pants and sequined garbs. And in the eighties, men and women embraced the notion of power dressing.
In the 2000's (and hopefully beyond), androgyny can be interpreted in numerous ways. For women, it's by default that they borrow their man's pieces (such as a blazer or jeans, now coined boyfriend blazers or boyfriend jeans) and mix it up with their own pieces (like a dress or a ruffled shirt or tights). On the other hand, men seem to hit a hurdle when donning their girl's pieces. Aside from the fact that men's bodies are proportionally bigger than women, society (or culture or parents) frowns upon men wearing women's clothing.
However, some womenswear are in direct lineage to menswear (Coco Chanel's work for example). Take the suit jacket. Sure, it may have a curvier body and slimmer sleeves, but the essence of it is a man's suit jacket. Typically, men can't pull off women's blazers without looking drag queen-ish. But if you have the slender body to suit, then more power to you (I definitely recommend women's double-breasted jackets because of their inherent boxy shape). And regarding trousers, women's skinny jeans are the blaring example to note.
Of course, all this androgyny suggestion would mean more work for the men. It is imperative that men be slim (take Hedi Slimane's Dior Homme) for the look to take flight. Lose those muscles and you'll probably fit in.
But the biggest faux pas any androgyny-bandwagon-jumper commits is when they fully transform into the opposite sex. Women, when you wear men's garbs, make sure you accompany it with something feminine like lipstick or high heels, or a purse. And for men, looking like a woman is no compliment whatsoever (unless, that's your primary intention). Retain your masculinity by putting on a plain white T-shirt, sneakers, and perhaps a scruffy 'do. At least for now, that'll do.