Here you will find various games. Some are eroge/h-games, some are strictly visual novels. Many have STRONG sexual imagery, some do not, and some have different versions without sexual content. All, however, have significant romantic elements that men have enjoyed. So, take a look.
While I had never imagined how a game could be classified as romantic, after I actually played one, my view changed. Unlike most popular English language games, these games are almost always more reminiscent of choose-your-own-adventure books. They have a storyline which is driven by player choices and can include more text or dialogue than large books (Tsukihime is a good example, with the equivalent of around 5,000 pages of text)