It's been almost a year since I last tried to sort out what the current history of the DC looks like. Here's the basic shape of it as it stands these days. Feel free to point out any corrections or additions in the comments
Recent retcons established by either Rebirth or the New 52 are in bold
Events not yet re-established, but possibly will be, are in italics
The Justice Society of America operated as a covert team of costumed Mystery Men during World War II, but disappeared following the Communist Witch Hunts of 1951. Johnny Thunder's Thunderbolt erased all memory of their existence.
Superman, Batman & Wonder Woman first appeared several years ago, inspiring the modern age of the Super-Hero, which culminated in the formation of the original Justice League with The Flash, Green Lantern, Aquaman, and, their youngest member, the teen Cyborg, whose body was merged with a Mother Box during Darkseid's invasion of Earth. Martian Manhunter, Green Arrow, Hawkman & Hawkgirl, The Atom, Black Canary, Zatanna and others also joined the expanding Justice League.
Shortly afterwards, Robin, Kid Flash, Speedy, Aqualad & Wonder Girl formed the original Teen Titans. Other young heroes including Hawk & Dove and Batgirl also began their adventures.
Strange new heroes like Deadman and the Doom Patrol first appeared. Captain Atom, Blue Beetle, The Question, Nightshade and Peacemaker debuted.
Clark & Lois fell in love, Catwoman seduced Batman, Barry started dating Iris, Mera met Aquaman after he was crowned king of Atlantis, Carol first became Star Sapphire, and Sinestro forged his original yellow ring.
Hal, Ollie & Dinah did their Social Justice Warrior roadtrip, John Stewart joined the GLCorps, Batman first met Talia & Ra's Al Ghul (Damian was conceived) and the New Gods of Apokolips and New Genesis brought their war with each other to Earth.
Black Lightning & Firestorm debuted, Travis Morgan became lost in Skartaris, and Alec Holland was transformed into Swamp Thing, who eventually met John Constantine.
Jason Todd debuted when Dick Grayson left his days as Robin behind to become Nightwing, who led the Teen Titans including Starfire, Beast Boy, Raven and Cyborg (taking a break from the League) against the mercenary Slade Wilson, Deathstroke.
With Batman quit to form the Outsiders, Hal Jordan exiled from Earth, Cyborg hanging with heroes his own age, and most of their teammates gone, Aquaman & J'Onn formed a new League with Elongated Man, Vibe, Gypsy, Vixen, and Steel in Detroit.
During their battle with Mr.Twister, Dove was killed and Lilith erased the world's memory of the Teen Titans' adventures. Furthermore, Wally West was trapped in the Speed Force by Abra Kadabra.
The Detroit League was decimated by Anti-Hero Riots orchestrated by Darkseid, during which Amanda Waller formed the first Suicide Squad and a new Justice League was created with Batman, J'Onn, Black Canary, new Green Lantern Guy Gardner, Blue Beetle, Mr.Miracle and others. This team was soon manipulated by Checkmate agent Maxwell Lord into becoming Justice League International with an expanded membership including Booster Gold, Rocket Red, Fire & Ice, Captain Atom and Power Girl.
Jason Todd was murdered, Batgirl was crippled & Harley Quinn was seduced by the Joker. Tim Drake became the third Robin. Batman's back was broken by Bane. Gotham City was devestated by a massive earthquake. Barbara Gordon became Oracle and formed the Birds of Prey with Black Canary.
Superman died fighting Doomsday, the clone Superboy, armored Steel and the Cyborg Superman first appeared. This culminated in the return of Superman and the destruction of Coast City, which led to Sinestro's corruption of Hal Jordan with Parallax, the destruction of the GLCorps and Kyle Rayner's debut as Green Lantern, who soon joined the reformed JLA to thwart a White Martian invasion, and the attack of Maggedon.
Shortly after Lois & Clark were married, Superman rallies together Earth's heroes against the invasion of Imperiex. Wonder Woman relocated to Gateway City where she ascended to Olympus as the Goddess of Truth for a time before reclaiming her mortal role as Ambassador to Paradise Island. Robin, Superboy, Impulse and the new Wonder Girl had adventures as Young Justice, which eventually became another Teen Titans with Cyborg, Starfire & Beast Boy. Revived by the Lazarus Pit, Jason Todd returned as the Red Hood, Jamie Reyes became Blue Beetle, Kate Kane debuted as the new Batwoman.
Sinestro formed his Corps, Darkseid seemingly killed Batman, prompting Dick Grayson to train Damian Wayne as the new Batman & Robin while Tim Drake searched for Bruce Wayne as Red Robin.
The Blackest Night brought back the dead, Batman Incorporated was established around the world, and Zatanna & Constantine formed Justice League Dark to combat magical threats.
Supergirl arrived on Earth, Batgirl recovered from her spinal injuries, Batman faced the Court of Owls, the Crime Syndicate of Earth-3 invaded, the Anti-Monitor and Darkseid waged a war against each other on Earth. Wally West returned with knowledge that history is being manipulated by outside forces.
And there you have it. I'm sure Superman Reborn and the upcoming Judas Contract retelling will require some tweaks here and there, but this seems to be the general shape of DC history right now.