The singularity method gets its name from its starting point. Imagine or choose the single most impactful element of your world to be. This can be anything from a natural occurrence, a system of magic, or strong group of individuals.
Below are lists of reasons to get off world, methods, and things that go wrong. Roll on the lists or pick the ones that interest you.
More than other genres the cyberpunk setting is an antagonist for the players. The future world is filled with dark alleys, acid rain, streets filled with gangs looking for trouble, officers who shoot first and mercenary groups who don’t bother to discern what’s right from what’s profitable. While the stage and atmosphere can’t replace a strong memorable antagonist, it should always act as a multiplier, increasing the tension, the excitement, and the impact of what would normally be mundane tasks.