An illustrative multi-access server system obtains trajectory data from a plurality of client devices engaged in a massive multiplayer application. The trajectory data is representative of asynchronous attempts, by users of the plurality of client devices, to direct respective virtual objects associated with each client device to a target at a real-world location and associated with a real-world event. Based on the trajectory data, the system determines a plurality of virtual trajectories for the asynchronous attempts to direct the respective virtual objects to the target, and, based on the plurality of virtual trajectories, renders a plurality of videos that each concurrently depict the asynchronous attempts to direct the respective virtual objects to the target. The system also streams different videos to different client devices, including customized videos for each client device. Corresponding methods and systems are also disclosed.