On the contrary, with the exception of the US, every country in ww2 extensively used bolt action rifles.
The German main battle rifle was the Karabiner 98 kurz.
The British used the Lee-Enfield. They started out using WW1 models and switched to Rifle No. 4 Mk 1 in 1941.
The French had about 250,000 MAS-36 rifles during the Battle of France, the rest were older WW1 models.
The Soviet Union used the Mosin-Nagant, primarily the 91/30 version.
The Japanese started with the Type 38 rifle, and in 1939 started producing the Type 99.
The Chinese primarily used the Type 88, which was based on the German Gewehr 88.
All of these designs were widely used, and were bolt action. However, the standard issue rifle was only one part of a soldier's armament. This previous answer by /u/vonadler goes into the differences in infantry doctrines during WW2, primarily in how different countries tried to improve supression fire.