Following the 2016 DC Rebirth continuity reboot, Batman and Catwoman work together in the third volume of Batman. The two also have a romantic relationship, in which they are shown having a sexual encounter on a rooftop and sleeping together. Bruce proposes to Selina in Batman vol. 3, #24 (2017), and in issue #32, Selina asks Bruce to propose to her again. When he does so, she says, "Yes." 
A family outing to the cinema ended in tragedy for young Bruce Wayne. Walking homeward, Bruce, his father, Thomas, and mother, Martha, accidentally ventured into Gotham City's notorious "Crime Alley" and were accosted by a mugger. Not content merely to rob the wealthy family, the hoodlum - whose identity was "never determined" - shot Dr. Thomas and Martha Wayne dead before fleeing into the darkness. As he knelt beside his parent's bodies, Bruce swore to avenge them. After the police arrived, Bruce was comforted by Dr. Leslie THompkins. Dr. Thompkins and Alfred Pennyworth helped arrange matters so that Gotham's Social Services would not take Bruce into care. In this way, both Dr. Thompkins and Alfred enabled Bruce to realize his dream of becoming a crusader against crime.
This suit is from an Elseworlds story that puts the recognizable Batman cast of characters into a pirate setting. Several things are changed in addition to giving the costume a classic pirate look. Leatherwing (Batman) is a ship Captain pillaging for King James, but keeping a cut for his crew. A character named Robin Redblade stows away on Leatherwing's ship, The Flying Fox, and alerts Leatherwing about talks of mutiny that he overhears. He is then made buccaneer, regardless of stowing away, and stands beside Leatherwing with Alfredo.
For the most part, Batman's family and friends come to believe that Bruce Wayne is indeed dead. The only exception to this is Bruce's adopted son Tim Drake, who believes firmly that Bruce is still alive. After having the Robin identity taken from him by Dick Grayson, the new Batman, and giving it to Bruce's son, Damian, Tim takes on the identity of Red Robin, and begins searching the world for signs that Bruce Wayne is still alive. While searching in Baghdad, Tim finds a wall painting of the Bat emblem that was painted by Bruce upon the passing of Anthro. Tim realizes that Bruce is not dead, but rather lost in time.
Batman is often treated as a vigilante by other characters in his stories. Frank Miller views the character as "a dionysian figure, a force for anarchy that imposes an individual order". Dressed as a bat, Batman deliberately cultivates a frightening persona in order to aid him in crime-fighting, a fear that originates from the criminals' own guilty conscience. Miller is often credited with reintroducing anti-heroic traits into Batman's characterization, such as his brooding personality, willingness to use violence and torture, and increasingly alienated behavior. Batman, shortly a year after his debut and the introduction of Robin, was changed in 1940 after DC editor Whitney Ellsworth felt the character would be tainted by his lethal methods and DC established their own ethical code, subsequently he was retconned as having a stringent moral code. Miller's Batman was closer to the original pre-Robin version, who was willing to kill criminals if necessary.