So from what I can tell BitD is something of an Apocalypse world hack. Mechanically it's a little different but there's definitely some conceptual overlap.
You pick one of eight (i think, book is at home) criminal classes. You will have a few options with each class to define your character and differentiate it from another player should they desire to play the same class. Stats are fairly simple. There are three broad categories of stats referred to as attributes (Insight, Prowess, Resolve) with four individual stats, called approaches, within attribute. The number of approaches that have a single dot or more add up to generate the attribute score (0-4) while the approaches have scores themselves from 0 to 4. Attributes are used "defensively" for resistance rolls while approaches are used for actions. Each dot adds a six sided die to a pool that a player rolls to accomplish their goal this is in addition to any bonus dice that are gained. Based on a player's highest rolled die the results are assessed. 1-3 is failure, 4&5 are a success with complications, and 6 is a total success. There's more but that's fundamentals.
In addition to selecting a character class the players as a group select a Gang type. This helps to define the goals and nature of their criminal enterprise. Are they smugglers, strange cultists, or simply a group of burglars (and so on)? They will get to pick certain advantages to help them start out and as the Gang grows pick up more advantages. Each "Gang" type comes with a territory map that the gang is trying to take over and protect from competing gangs all while trying not to generate too much attention (heat) from the police.
Play is divided between two major phases. The first is an active or on-the-job phase where the players are try to accomplish a goal or goals, often in the form of some criminal act. Downtime is between such capers and revolves around recovery from the stress (damage essentially) through indulging in a characters preferred vice or using the time to develop resources.
The setting is something of a Victorian city in a fantasy world where ghosts and magic involving spirits exists. Grim, dirty and metropolitan. The primary setting is a world of have and have-nots struggling to maneuver any advantage they can or sometimes just to survive.
"Bureaucracy is far more effective when everyone's dead, you know." TEMPORAL CORRECTOR ZERO - Romantically Apocalyptic