In the "Order of the Phoenix" film, Death Eaters and Order members Apparated and Disapparated in clouds of smoke. Death Eaters would appear and disappear in black smoke, Order members in white. In the movie, both sides also seemed to be able to "half-apparate" in which their bodies were made out of smoke, giving them the ability to fly. This is not canon to the books and probably just used for more cinematic, atmospheric purposes. Interestingly, both times Fred and George apparated and disapparated, they did it with a pop as in the books.
It is never clearly stated in the books whether human Apparition requires a wand. In Deathly Hallows, Ron attempts unsuccessfully to Disapparate from captivity at Malfoy's Manor while he does not have a wand, and some theorize that this is evidence a wizard needs a wand to Apparate. Moreover, the book does explicitly say that "Ron was trying to Apparate without a wand", implying he needed it to Apparate. However, it is more likely that the cellar in which he was held was bound by an Anti-Apparition spell. In addition, in Deathly Hallows, Harry tells the Muggle-borns in the Ministry of Magic to "attach themselves to somebody who has got one [a wand]" so they may use "Side-Along Apparition", although this may merely be for purposes of protection.