Bucharest it does happen quite a lot.
My mother in law was shouted at by three men as she was waiting for the bus, which happened to have a bus stop outside MacDonalds, where they clearly assumed she had been eating (she hadn't). She was called an ugly fat old bitch and they were asking her if she'd eaten all the burgers etc. They didn't move on, just shouted at her until the bus came, other people waiting were laughing and a couple of teenage girls speaking on a mobile phone had a conversation about some old fat cow on the bus being shouted at in the street.
My friend in Canada was also abused in a similar way by some teenage boys who followed her in their car. Where she lives they have country roads and no pavement and they were slowly following her in the car, shouting abuse and saying they couldn't get passed her because she was so fat. They could have passed her easily but they were having fun. She has a heart condition which limits her exercise to gentle walking, which is what she was out doing when they saw her, but she tried to hurry home just to get away from them and was quite ill afterwards. She was frightened they were going to knock her down.
These are two of the worst examples but both of them have had many other occasions where people feel they have a right to comment or make a rude and nasty remark about their weight.
People do comment on strangers all the time. I have red hair and glasses and there must be something about my face that makes people feel the need to say "cheer up love" to me even when I'm feeling quite cheerful already because that happens to me a lot.
I agree with Bupcakes, people should just stop arguing that if they can't call someone fat for a laugh anymore then it won't be long before they can't call someone speccy-ginger pubes either (yes that was me at school).