The extent to which findings in bilingualism research are contingent on specific analytic choices, experimental designs, or operationalisations, is currently unknown. Poor availability of data, analysis code, and materials has hindered the development of cumulative lines of research. In this review, we survey current practices and advocate a credibility revolution in bilingualism research through the adoption of minimum standards of transparency. Full disclosure of data and code is necessary not only to assess the reproducibility of original findings, but also to test the robustness of these findings to different analytic specifications. Similarly, full provision of experimental materials and protocols underpins assessment of both the replicability of original findings, as well as their generalisability to different contexts and samples. We illustrate the review with examples where good practice has advanced the agenda in bilingualism research and highlight resources to help researchers get started.