If you're heavy or middle-aged, men tend to ignore you. If you have cleavage and are reasonably young/attractive, men can have whole conversations with your chest and never look you in the eye, and (insult to injury), they'll compliment your beautiful eyes (!?) or your great posture.
If you have sex with more than one guy, you're a slut. If you don't want kids, people want to know why, and they often assume that your significant other is the problem.
If you're in the auto parts store looking for motor oil and know where to find it, a clerk often asks you how he can help you, or he rushes over to point out how to find the thirty-weight that you already have in your hands. If you take your car in for repairs, they might try to tell you that your catalytic converter needs replacing when you don't even have one.
If your car stalls out on the freeway, the CHP officer might sit there and wait with you while the tow truck comes. If you're fairly young and act clueless, you can get out of a ticket if the officer is a straight male.
If you get into a relationship with a jack-of-all-trades, you're in danger of never learning how to fix things on your own--but I think that's more of a problem for trans men and cis girls than trans women.
Some people are more tolerant when you make a mistake. Some are less so. Some don't take your ideas seriously until a guy proposes it. Professors might assume that you're into feminist scholarship (I was into masculinity and gay studies, myself). Some men, when meeting you and ascertaining that you actually have a brain in your head, will be intimidated. But men don't pull that "who has the stronger handshake" crap and try to squeeze all the life out of you.
Other women will talk to you openly about all the lovely details of their periods, pregnancies, abortions, and female trouble, not to mention the size and shape of their husband's apparatus.
You're not considered weird if you like makeup, clothes, hairstyles, and shopping. If you don't like these things, you're something of an oddball. If you're into sports, people often assume that you're really not all that athletic or competitive, especially if you're on a cheer squad that busts its butt and performs all sorts of difficult acrobatic maneuvers and only gets one month off a year, when other sports teams get months and months off.
You do get greater leeway with clothing and hair and gender expression. Otherwise, I would have had to transition much earlier...hmm, I guess there's a downside.
Sometimes your chest is an unbearable nuisance. I couldn't run properly, walk unencumbered, or (when I started getting really big) sleep comfortably on my stomach. On the other hand, my chest ensured lots of positive male reactions when I was younger. And since I have always been in straight relationships and have gotten sexual satisfaction out of my chest, I have to admit that I lost something when I had top surgery. But I don't regret that loss.
P.S. Of course, not all of these have to do with other people's treatment of you. I got carried away.