While Cyborg was known as a founding member of the Teen Titans in the previous continuity, in the New 52 he was a founding member of the Justice League, replacing Martian Manhunter who was the seventh founding member in the previous Justice League origin story.
Based on the 6-issue storyline from DC's New 52 Justice League: Origin, the first storyline of their relaunched "Justice League" series. Notably this series was not only the first series released when the New 52 began, but it also served as the Justice League's new origin story in the New 52.
Ocean Master's appearance at the end of the film is a nod to the Aquaman/Justice League crossover event "Throne of Atlantis", one of the comic book crossovers in the New 52. His appearance is a hint towards the upcoming animated film adaption Justice League: Throne of Atlantis (2015).
Shazam's idea to name the team "The Super Seven" is a nod to the 1970s Saturday morning cartoon "Tarzan and the Super Seven" which featured many members of the Justice League, including Batman & Robin. In the original comic book storyline, it was the Flash who suggested that idea.
Wonder Woman lassos a man protesting her in the beginning of the movie. She tells him that the magic lasso will compel him to tell "his truth". He confesses that he secretly crosses dresses in a Wonder Woman costume because it makes him feel powerful. This may be a nod to the original Wonder Woman creator, William Marston who was among other things, a cross dresser.
Near the beginning of the movie during Vic Stone's game, the character model for Virgil/Static can be seen on the bleachers behind Billy Batson as they watch the game. This is the character model from the Young Justice tv show and not the earlier Static Shock series.
Vic Stones number is 7 and his uniform is blue. When he is nearly sacked, one of the blitzing players is number 54 in a white uniform. This nods to the show blue mountain state, where quarterback Alex Moran is #7 in a blue uniform, and defensive player Thad castle who is number 54, usually shown in a white uniform.