An important part of Ivan Myasoyedov's work is his creation of postage stamps for Liechtenstein. His series of three stamps with denominations of 20, 30, and 50 rapps first appeared in 1938 and 1939 (Mi #180, 182). This series, titled "Huldigung" ("Oath of Allegiance"), was issued in honor of the oath taken to Prince Franz-Joseph II, who ascended to the throne on May 28, 1939. These stamps became the first in the country's history created by a professional artist of high caliber. They showcase Myasoyedov's mastery in composition and his ability to highlight the main characters of the scene.

An example of Myasoyedov's work is the stamp featuring a stylized "Madonna of Consolation" from the Chapel of St. Mary in Dux, with a denomination of 10 francs, issued on July 7, 1941 (Mi #197). Although the sketch was created by Johannes Trojer, the steel engraving was done by Myasoyedov. The most impressive work by Myasoyedov is considered to be a series of five stamps issued on April 22, 1942, dedicated to the 600th anniversary of the demarcation of territories of Liechtenstein and Switzerland, belonging to the descendants of Count Hugo von Montfort (Mi #202, 206). All designs for these stamps were executed in steel engraving technique.

The last series of stamps from Liechtenstein created by Myasoyedov is called "Binnenkanal" ("Inner Canal in Liechtenstein") and consists of four stamps with denominations of 10, 30, 50 rapps, and 1 franc. These stamps were issued on September 6, 1943 (Mi #218, 221).