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Let me start off by saying that I have loved World of Warcraft since BC and think it is a solid game that defined a genre, but I have been given so much shit for saying so. However it seems that WoW replicas are what we actually want in a game. Moving on...
Wildstar is a great game, ESO was a great game too. Comparisons are inevitable at this point, however after seeing two player reactions I will say this; We think we don't want another traditional MMO like World of Warcraft. However that is exactly what we want. We want a game with all of the features of WoW, just... not WoW.
ESO had fantastic ideas that really fell short due to some bad decisions by the devs. However I believe these will be ironed out in the future. Such as the terrible grouping systems and dungeon grouping. ESO Dungeons were so much fun, yet so hard to get into one and really only worth it to run each 1 single time. Bad decisions. I think ESO should do away with the trinity and make dungeons more feasible method of leveling. Get RID of the Vet Grind or at least increase xp, why must I do EVERY QUEST. Make the Cyrodill PVP worth it.
People generally disliked ESO though, and I am not sure that fixing the issues I just pointed out would have mattered, even at launch.
Fast forward to Wildstar and the game is really polished (had a few bugs/lag, nothing like ESO though). The game is a WoW replica any way you look at it. Even the cartoon graphics people are eating them up. So I think we can see that the majority of the MMO players want an MMO that is 80% WoW and 20% new features.
What does wildstar do different?
Combat is different and very awesome imo.
Housing: doesn't interest me in the slightest buy hey it's there and its cool from what I gander.
More public interaction with quests, adventures, events and the like.
And that is about the extent of the differences, we finally have our alternative cartoon land to explore.