Ruminous
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Demien Linn over at Bitmob has an article reviewing the relationship aspect of the game, including the same-sex option. Pics might be NSFW depending on where you work. Heavy spoilers throughout, so don't read if you prefer a little mystery to your romance.
More information.What you learn about the characters, however, isn't so interesting -- all of your romantic prospects adhere to parochial stereotypes. Both females seem wildly different at first, but are ultimately only interested in monogamous relationships, while the gay male character prefers a no-strings-attached open relationship