Having just finished Tales of Symphonia: Dawn of the New World, I'll say that I do indeed like to see romance in stories. Sure they play it for ridiculous laughs a lot in the game but by the end you know these two people truly love each other.
I'm kinda a sap for romance really.
^ This. I also played ToS2 and they romance/love relationship is made to be the source of jokes in game, but like Yoshi said, they do love each other.
When it's like that, I like it.
When it's a more unlikely/difficult, and it works out, I LOVE it.
Example: The girl is oblivious the guys existance, but he can't get his mind off of her. Eventually, the guy ends up being reconized as existing by the girl, and ends up friends with her and it's pretty clear it won't stop at that.
Bonus points if the relationship ends up minorly involved in a plot point, like a town being attacked and the guy risks himself to protect her and she's being Tsundere/Shy. The guy is screwed, he knows it too, but he risks himself anyway.
That example is a completly random one, but each chunk shows up in an RPG somewhere
I also generally, but not always, hate romance in novels and manga, but I am more favorable towards videogame romance. Probly cause the games player has a more direct connection to the events then the novel reader. Fire Emblem games can be good examples of this, you the player, are essentially a character in the game(s) who guides the characters actions as a strategist, meaning the victory of the characters is tied in that much more as your victory, Female Character L falls for Male Character H because you guided them together.
I guess, in video games, liking it is cause we the player(s) are more connected with the cast. We feel sorry for them, we get angry with/at them, we cheer with them, we laugh at/with them.