We introduce Oblivious Parallel Stateful Computation (OPSC), a form of secure multi-party computation (MPC) tailored for stateful machine computation models emphasizing parallel execution across multiple data. OPSC enables parties to compute multiple results simultaneously in a parallel fashion, leveraging all data from current states and auxiliary inputs dynamically entered at that point. With its parallel and dynamic nature, OPSC holds promise for privacy-preserving applications in intricate decision-making scenarios involving multiple agents, such as traffic analyses, individual consumer behavior economics, and epidemiological simulations.