Animation Seisaku Shinkou Kuromi-chan, Shirobako Recommendations
Both of these titles are about anime production. The main characters even share the same positions. They are a great way to learn how anime is made and the interesting "characters" behind it. Animation Runner Kuromi is shorter and bit older (so some of the information is a little out of date) but is a great quick glance into production. Shirobako is a 2 cour series so it goes much more in depth and includes modern techniques like using 3D.
Both series are about young girl in animation studio and both involve dealing with various problems during production. Kuromi-chan is more of parody anime while Shirobako seems more realistic.
They're basically the same thing!
Both are comedies about animation production. Miyamori Aoi, the heroine of SHIROBAKO, work as a production assistant as well as Kuromi-chan. SHIROBAKO is a TV series containing 24 episodes so it is more detailed and realistic than the OVA Kuromi-chan, while Kuromi-chan is more exaggerated.