Datasets associated with the article "Probing the Unstable Spectrum of Schwarzschild-like Black Holes", arXiv:2501.13815 [gr-qc]. The file Datasets.zip contains four subfolders. Each subfolder includes a readme file that provides a description of the datasets. A brief description of each subfolder is given below: Subfolder "Fig1": quasinormal mode data used to plot Fig. 1; Subfolder "Fig2": pseudospectrum data used to plot Fig. 2; Subfolder "Fig3": quasinormal mode data used to plot Fig. 3; Subfolder "Fig4": quasinormal mode data used to plot Fig. 4.