1. The Mudd Incident
The events of Star Trek Into Darkness take place one year after the events of the first film, allowing for the crew of the Enterprise to have developed as a group and to have had their initial adventures. One such adventure mentioned is the Mudd incident. Taking place a month before the film, Sulu tells us its the reason the ship the crew take down to Kronos was in the Enterprise. Harry Mudd was a recurring baddie in the original series. Always trying to con someone out of something, he appeared twice in the show and once in the animated series. His mention here, however, is a lot more involved than some other side references (like the gorn). In a preview comic for the film, suitably titled Countdown To Darkness, we get to see the incident play out in full. And its a little different to how fans would have imagined it...
Mudd in the comic is Bajoran woman, but rather than a daring redesign of the character, its in fact an expansion; this Mudd is the originals daughter.