The New 52 is the name given to the 2011 DC Comic relaunch. The name comes from the fact 52 titles was rebooted. In this new universe, superhero are victims of suspicion and hostility.
The "Justice League" titles are Justice League, Justice League International, Wonder Woman, The Flash, Captain Atom, Fury of Firestorm, Green Arrow, Savage Hawkman, Mr. Terrific and DC Universe Presents. The "Batman" titles are Batman, Detective Comics, Batwing, Batman: The Dark Knight, Batman and Robin, Batgirl, Batwoman, Nightwing, Catwoman, Birds of Prey and Red Hood and the Outlaws. The "Superman" titles are Action Comics, Superman, Superboy and Supergirl. The "Green Latern" titles are Green Lantern, Green Lantern Corp., Green Lanterns: New Guardians and Red Laterns. The "Young Justice" titles are Teen Titans, Static Shock, Hawk and Dove, Blue Beetle, Legion of Superheroes and Legion Lost. The "Edge" (don't ask) titles include Stromwatch, Grifter, Deathstroke, Suicide Squad, OMAC, Blackhawks, Men of War, Voodoo and All-Star Western. The "Dark" titles are Justice League Dark, Swamp Thing, Animal Man, Frankenstien, Agent of S.H.A.D.E., I, Vampire, Resurrection Man and Demon Knights.
My main source was Wikipedia.