Oh please.....
Sorry, but I think this may come out grumpier than I intended....
Sasha, there is another perspective to all this actually. Players are easy. They're easy to work with, they're easy to manipulate, they're easy to get in to bed, their games are predictable and by the very definition of the fact they're players you know exactly what you're going to get. A woman who deliberately sets out to 'change' a player is either a matyr or not the full kettle of fish.
'Nice' guys take more work than a player because they don't feel like playing games, they generally won't let you manipulate them (always part of game playing) and because most adult relationships require some form of effort from both parties you will have to pull your weight and give a little too.
Hence, perhaps you should consider you like players not just because they're sexy but because they're actually much easier to deal with, they're as deep as a puddle in the sahara. A relationship with a 'nice' guy takes a lot more work and effort. Perhaps you're not ready for that kind of relationship yet. Which is fine.