Datasets underpinning the 6 Figures for "Mapping the flux penetration profile in a 2G-HTS tape at the microscopic scale: deviations from a classical critical state model" in Superconductor Science and Technology. The data files consist of .txt files for each figure organised in individual folders and presented in labelled columns (tab delimited). The data was acquired by scanning Hall microscopy (SHM) in two operation modes: the 'local' magnetometry mode where ‘local’ magnetic induction is measured, and the rapid 'flying' mode that makes a rapid 2D scan of the maximum field of view. The data files consist of individual graph curves and SHM images. A critical state model was used to fit the experimental data and estimate the superconducting critical temperature at different temperatures.