"A new release from Amodel (as shown on the Modelimex site HERE); two other variants as well. I have never even heard of this airplane; can you tell us something about it?"
First the KKY.
It was designed by Endo Ryokichi under the supervision of Nakagawa Moriyuki inspired by imported deHavilland D.H. 83 Fox Moth. The designation KKY stands for "Kogata Kei Kanja Yusoki" (Small Type Light Patient Transport). The first prototype was completed in the beginning of December 1933 with the first flight taking place on December 9. It was not built under orders of the Army so it didn't have any Ki or Shi registration but it was still an Army type. It could carry two patients on stretchers, one medical attendant and medical supplies. It could land and take off from airstrips as short as 250 meters making it particularly useful for emergency evacuations. Total 25 were produced until 1940.
Originally the type was fitted with a Cirrus Hermes Mk.IV and was registered KKY-1 but due to vibration problems the engine was changed to Gasuden Jinpu Model 3, 150hp which solved the problems and increased the overall performance. With the Gasuden engine the designation became KKY-2. Originally the propeller was metal (KKY-1) but on KKY-2s it was wooden. The type was widely used during the Sino-Japanese War in patient transport and communication duties until the beginning of the Pacific War.
Most of them were Aikoku (donated) aircraft. Three examples below.