Some recent experiments reported real two-dimensional (2D) ferromagnetic materials (FM) at nonzero Curie temperature. Given the vast material phase-space of 2D van der Waals heterostructures, it will be very exciting to search for 2D FMs with room or higher Curie temperatures. Here, the authors perform a systematic search by screening the nearly 200,000 material entries in the Inorganic Crystal Structure Database (ICSD). The search not only rediscovered the recent experimentally found 2D FMs, but also identified several new 2D FM candidates including one having above-room Curie temperature.