This set of results stems from a database computed with a Direct Numerical simulation of the incompressible flow around a rectangular cylinder with chord-to-thickness ratio 5:1 (also known as BARC benchmark). The Reynolds number based on the cylinder thickness and the incoming velocity is set to Re=3000. We provide the two-dimensional mean field as well as the complete set of Reynolds stresses and the terms involved in their single-point budget equations. Further details can be found on an accompanying paper by Chiarini & Quadrio, Flow Turbul. Combust. 107, 875–899 (2021), available at https://doi.org/10.1007/s10494-021-00254-1. Data are provided in VTK file format, so that they can be visualized with several applications, as for example the open-source package ParaView. The file mean.vtk contains the mean flow in terms of the velocity components U and V and pressure field P in the x − y plane. The files uu-Budget.vtk, vv-Budget.vtk, ww-Budget.vtk, uv-Budget.vtk, uw-Budget.vtk, vw-Budget.vtk and k-Budget.vtk contain the complete set of terms appearing in the budget equations for the components of the Reynolds stress tensor and for the turbulent kinetic energy.