More or less, it depends on the quality and complexity (usually lack thereof) of the character creator itself. I liked RIFT's, Skyrim's, DOA's, Mass Effect's, DAII's and Champion Online's creators so far, with Champion Online's being the one with the most variations possible that I know of (even though of course generally speaking the graphics themselves aren't exactly great nor detailed). I've never really been "addicted" to character creators themselves, but I did become "attached" somewhat to some of the characters I did create (mostly of course my "main" Warden in DOA and my Shepard).
I might find it very fun to just keep creating characters in a creator the day that character creators truly allow us to create almost everything we want from a very complete list of untold amount of choices for all sorts of assets, be it textures, apparel, vanity, clothing, even voice tones, personality, alignment-related auras or complexion (chaotic evil unlocking specific related skin tones, scars, voice tones, etc), with almost per-pixel skin texturing precision with painting features. With the innevitable sliders to increase, decrease, deform (creating asymmetries of limbs for example) various body shapes on all body parts down to hair placement (hair on part of the head, some part of it without hair, etc). Not to mention the possibility of creating a character that happens to not even be humanoid in shape to start with if the game's setting/context demands or allows it (a true alien being).
I know, something like that might never happen due to many reasons one of which of course would be based on the assumption that it'd be "too complex for no reasons", when of course there's no consideration taken when such reasons do exist to start with, but that's another subject. I guess it also has to do with the actual time, resources, talent and knowledge by the game developers whom would have to even create such a complex character creator to start with, which itself might take too long to be justifiable to even consider and would end up being streamlined with just a few prefixed options. So there's a question of will to do so in the industry, then there's a question of "even though we could do it, do we want to do it and is it necessary?", then of course there's money and time for the development schedule and "the rest of the game outside of the character creator itself" to create as well.
Yeah... will probably never happen, but THAT is the kind of REAL character creator I want to see, and THEN I might consider those as a game on their own and become addicted to them.