The correct answer to this open question is the following.
The similarities between the eras of Medieval Japan and Medieval Europe were the following.
In the Middle Ages, most European territories were ruled by Kings. Kings had absolute power over their reigns. Noble people in the Middle Ages had some privileges and were close to the King court. The King only asked for their loyalty and support. The Nobles had property and in their land, peasants worked in exchange for housing and food.
In the case of Medieval Japan, the military men governed the islands. These military men had a name; the Shogun and exerted its power and influence over the Japanese society.