The closest I've ever gotten to that was this girl I met while working a crummy retail job in a small bookstore, pending word on a real job. She was really hot, but what I didn't realize at the time was she was also batshit crazy. Elizabeth in Bioshock Infinite kind of creeps me out because she really resembles this girl, right down to the facial structure, build, eyes, lips, dimples, and even the facial expressions. We hooked up several times, she had just gotten out of a divorce and didn't want anything serious, which was perfect for me. Long story short, she changed her mind about the serious relationship part and would show up at the bookstore all the time asking for me. It got a little creepy.
The coffee and rose thing was actually something that really happened to this girl I used to be really close too. We dated for over a year, realized we meshed really well on a select few really great aspects, and not so much in just about every other way, and began seeing other people while remaining "friends with benefits". She went on a couple of dates with this one guy, realized she had zero interest in him, and subtly tried to shake him, and by subtly, I mean ignoring his phone calls, making excuses every time he asked her out for over a month, and never responding to his texts, and even explicitly telling him he seems like he'd make a nice friend. She didn't want to hurt his feeling by outright saying she wasn't interested.
Anyway, I spent the night one night, and as she was getting ready for work at six am the next morning, she got a call from him. Since it was an odd time for a phone call, she answered rather than ignoring it like she had been. He told her he was in her parking lot waiting for her and had bought her coffee. That is incredibly creepy, and it kind of freaked me out. She told him she was busy, that it was really weird to show up at someone's place that early in the morning, and he had to leave NOW! Twenty minutes later she was ready for work. We totally expected he'd be gone by this time, we walked out of her apartment together as a car approached us, she muttered, "Ugh, that's him" and grabbed my hand. He drove past with an awkward (probably pained) smile on his face. With her hand in mine, he and I made eye contact, I gave him a wide mischievous grin and nodded at him.
Aaaand, he still kept trying to contact her for the next few weeks before finally giving up. He'd did other creepy things before that, like leaving roses on her doorstep.
That stuff can be totally romantic, if you are in a mutual relationship with someone, or if they are actually into you, otherwise it is just plain scary and desperate.