From: Panthera | #008
First example that comes to mind would be Valkyrie Profile, which takes some pretty significant liberties with Norse mythology I believe. Although that's actually using Norse mythology as a setting. I'm talking more...if I made a game and there was a character named Fenrir, some people would get extremely angry if he didn't end up doing stuff like being sealed away, cutting off a guys hand or killing a major leader during the apocalypse because those are things the Fenrir of Norse mythology did.
You probably noticed this, but there are basically no examples of this - for good reason, too, because it's bad writing. If you're going to actually reference the norse Fenrir's story and then make your Fenrir be absolutely nothing like it with no further attention paid to the myth, you're being gratuitious with the pointless referencing, which good writers don't do. Further, if you're working with a visual medium, your team is going to slap you silly for making them waste time coding and animating a scene that is pointless. There's a reason one of the first things people learn about writing fiction properly is to conserve detail.
EDIT: This doesn't mean you can't have a character named Gilgamesh and have him be nothing like the God-King of Uruk, for instance - see Gilgamesh Wulfenbach of Girl Genius. It just means you shouldn't waste time establishing a pointless connection.
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Twostuck, Homestuck RPG: http://www.gamefaqs.com/boards/8-gamefaqs-contests/62168402