Perovskite/silicon tandem solar cells (PSTSC) are amongst the most promising routes to increase the power conversion efficiency (PCE) of silicon-based solar cells. Many of the highly efficiency PSTSC use planar perovskite top cell layer stacks because of the compatibility with solution processing, which is the preferred fabrication process for perovskite solar cells. However, light management can further improve the optical performance of PSTSC. For example, smooth nanotextures can help to reduce reflective losses and increase the absorption of light in the absorber layers without compromising the compatibility with perovskite solution processing. This database contains the results of optical simulations for different nanotexturing schemes for PSTSC. We studied three configurations: a planar perovskite top cell, a perovskite top cell with a textured rear side, and a fully textured perovskite top cell. As textures we used sinusoidal nanotextures, which were already successfully implemented in perovskite single-junction solar cells and also have already been successfully transferred into the front side of silicon bottom cells enabling carrier lifetimes above 10 milliseconds. Further, numerical studies already demonstrated the high theoretical potential of sinusoidal nanotextures. The simulations were performed with the finite element method (FEM) for the wavelength range between We studied sinusoidal nanotextures with periods ranging from 500 nm to 1000 nm and with aspect ratios between 20% and 60%. The results presented in this database are the results of a global optimization using a Bayesian optimization algorithm. The data is provided as a ZIP archive containing the absorption spectra and current densities stored as csv files. An overview of all the simulations is given in the files simulation_list.csv and simulation_overview.csv.