Researchers agree that replicability and reproducibility are key aspects of science. Here, K. Andrew DeSoto and Martin Schweinsberg present datasets collected from a series of replication studies, each written in a transparent manner that would allow others to analyse the data themselves or compare it with past work. Several of the studies host their data in the Open Science Framework, a service of the Center for Open Science. The different papers in this collection highlight the many ways that scientific replications can be conducted, and they reveal the benefits and challenges of crucial replication research. The organizers encourage scientists to reuse the data contained in the collection for their own work, and also believe that these replication examples can serve as educational resources for students, early-career researchers, and experienced scientists alike who are interested in learning more about the process of replication.