Cowboy BeBop at His Computer: Controversy broke out over Dante reportedly killing an unborn child/pregnant mother in order to proceed during the game's plot — possibly forcing the hand of the player. Except that does not occur in the game at any point. The closest that Dante gets to anything that low is fighting a gigantic demonic "baby" beast ordered into battle by its equally-demonic mother, who can turn herself inside out to release it and is definitely evil; what's more, Dante makes a point of defeating them without killing them and taking them hostage. It's Vergil who kills them after they've already been disarmed, via sniper bullet, to Dante's obvious mixed horror and shock, in a cutscene that makes it clear that's what the audience is also supposed to be feeling.
Dueling Games: Probably with Metal Gear Rising: Revengeance - both games in long-running Japanese franchises about white-haired, pretty, superpowered, vengeful young men with troubled pasts, stronger dark sides and acrobatic slicey-choppy skills. Both are developed by a studio and a creative director different from the traditional ones, hazily canonical, and contain fairly significant aesthetic departures. Revengeance had better sales figures, but DmC received a better critical reception.
Executive Meddling: According toCapcom, Dante's design was originally far closer to previous versions, before Capcom said the changes weren't extreme enough and told them to "go crazy with it."
Franchise Killer: Neither a continuation of this game's universe nor a return to the original Devil May Cry continuity has occurred since 2013, with anyone named "Dante" from Capcom's character library only appearing in crossover works (with this game's Dante showing up in PlayStation All-Stars Battle Royale and as a character skin in MvC Infinite for his silver-haired namesake, who otherwise handles the DMC representation in just about every other work).
May be averted with the release (and high sales) of Devil May Cry 4: Special Edition. At the very least it indicates Capcom is not yet done with DMC...
What Could Have Been: Pages of concept art have been published revealing a couple of extra levels, unused enemies (including two, the Wisp and the Imprisoner, who wound up in Vergil's Downfall), cut content and alternative designs. The Order was initially going to play a bigger part as a very morally dubious organisation - capturing and vivisecting live demons, for instance - and Kat's first incarnations were a lot closer to the classic series female roles: adult, sexualised to a mildly absurd degree, and using weapons concealed in a violin case. Also, blue hair.