As said above in the Introduction, Otome Games (translated Maiden Games) are games for girls. One of the most popular games of this genre is Dating Simulations.
You may already know what a dating sim is. If you do, then you may skip this part. The most common objective of dating sims is to get a date or achieve a romantic realationship between the playing character and another character. Usually you have to choose between several characters as well.
.... Did I explain that correctly? If not, comment with questions if you have some.
For simple Dating Sims, that are free and online, I suggest Pacthesis's (from dA) Dating Sims. She has several awesome games, all made with FLASH. But don't ask for tutorials on FLASH or ask for a certain Dating Sim...
Some Dating Sims she has uploaded online...
Anime Sim Date 0.0
Festival Days Sim Date
Idol Days Sim Date
Wonderland Days Sim Date
Kingdom Days Sim Date
Chrono Days Sim Date
A Free Download Game that I also find amazing is RE: Alstair++. It's an extremely well-drawn and well written game! The character you play as a video game lover named Merui who gets an item stolen from her in an online game by a guy named Alistair. Soon, they make a bet that if she can find out who he is, he'll give her the item back. You get to choose between three guys, Travis, Shiro, and Derek.
The game is classified as an Otome Game, but to get the romantic relationships with the boys, you may need help from the walkthrough
... A better game review - +White Butterfly+
More Dating Sim Downloads and Info coming later.