I have carried out satellite imagery classification using a number of methods and software. For Coursera's GIS Specialisation, I classified Landsat 8 images of central Chile from 2014 using false-colour composites to find the extent of wildfires the country was fighting at the time.
This was an unsupervised classification in ArcMap. In my MSc course on remote sensing I calculated the seasonal shrinkage of Lake Chilwa in Malawi using ERDAS Imagine and European Space Agency's SNAP software. The classification used a Random Forest algorithm after a comparative literature review on classification options. I tested for accuracy and produced an error matrix for manual samples.