Yes, I get approached often. 98% of the time the men are age-inappropriate, sleazy, obnoxious, boorish, smelling, or otherwise offensive. These men make me feel depressed, objectified, or just give me the creeps. The remaining 2% are either so bizarre it's hysterical or they are normal guys who want my number. The few times a nice, normal man has approached me for conversation or a date I've found it very flattering.
The most memorable was a man who approached me in the middle of the night in the East Village. It was cold, but he was wearing only shorts, a tee, and flip flops. He was holding two long-stemmed red roses and, with sad look he offered them to me, saying, "Won't you take my flowers? Nobody wants my flowers." He put them into my hand and then gently brushed my cheek with his and said, "You have beautiful skin." Then he waled away!