Well this is interesting.
So this is what happens when I do not Google or Wiki Utena for ages. I honestly had no idea this game existed until now. I only knew of the Strawberry Panic, Simoun and Kashimashi PS2 yuri dating sims. Anyway the big news is that the Japanese exclusive Sega Saturn game, Shōjo Kakumei Utena: Itsuka Kakumeisareru Monogatari, has been fully translated to English for Utena and yuri fans to enjoy.
The game in question is a dating sim starring an avatar the player can name as they venture into the world of Utena, interacting with characters from the show and try to hook up with them. Both male and female characters can be wooed. Also it is possible for the avatar to participate in duels if the right cards are played.
Readers can get the Utena ISO along with the English patch and instructions on how to install the patch and run the game on a Sega Saturn emulator by clicking here.
Forgot to mention you have to become a member of the site to access the downloads. It’s free to register so no biggie.
The Wikipedia entry on the game.
Thanks to @Andrearitsu for the update.