If any readers from any of these countries would like to post additional information or personal stories of conversion, that would be fabulous. Just add them to the comments, and I will link them into the article.
In 1901, missionaries went to Japan, where they experienced a very slow start to the work, but successfully translated the Book of Mormon (Encyclopedia of Mormonism). U.S. servicemen in Japan during WWII and its postwar occupation (including Elder Boyd K. Packer) started the spread of the gospel there. Now there are 130,000 members in Japan in 6 missions with 3 temples.
The first Asian temples were dedicated in 1980 in Japan, in 1984 in Taiwan, in 1985 in South Korea, and in 1996 in Hong Kong.
Missionaries have proselyted in the India subcontinent as early as the 1860s, but only recently has the church had a permanent presence in India. The India Bangalore Mission was created in January of 1993 (October 1993 Liahona). Now there are nearly 14,500 members in 2 missions in India.
Presently in the 19 countries designated as "Asia" by the Church, there are 1,230,000 members in 44 missions with 8 temples.
Although the church was established in South Africa in 1853, the gospel was not preached to black Africans until after the revelation on the priesthood (Gospel Pioneers in Africa, August 1990 Ensign).
(If you or any class members are troubled by the delay in extending priesthood blessings to Africans, please see my blog lesson Continuing Revelation.)
Post-revolution Eastern Europe – 1990 (Russia)
The Berlin Wall came down on November 9th, 1989 (Apr.’91 Ensign, p.26). The Saints in Czechoslovakia had spread the Gospel undercover during the 40 years the wall was up. In 1989, when the missionaries were able to return, they didn’t have to tract because there was a huge group just waiting to be baptized. As for the Saints in East Germany, within 27 years, everything President Monson (then Elder Monson) had promised had been received, including, in 1985, the dedication of the Freiberg Germany Temple – a temple behind the Berlin Wall! The Freiberg temple was so busy that patrons had to make appointments to participate in an endowment session (Ibid., p.52).
"In September 1989, Church leaders authorized a United States Embassy worker in Russia to begin holding group meetings in his apartment. Four months later, in January 1990, missionaries arrived in Leningrad. The first convert they baptized also became the first full-time missionary from Russia, who served in the Utah Ogden Mission. In February 1990, a congregation was organized in Vyborg. By mid-summer 1990, the Leningrad congregation, created in December 1989, had 100 members, and the Vyborg congregation had 25 members. In September, the St. Petersburg congregation was recognized by the government and in October a religious freedom law was passed. With membership in Russia at 750 in February 1992, two other Russian missions were organized.
"In June 1991, the Tabernacle Choir received publicity 'beyond its wildest expectations' as it performed in the Bolshoi Theater in Moscow and in Leningrad (now St. Petersburg). The choir recorded songs later broadcast to a potential audience of 339 million. In May 1991, the Church was officially recognized by Russia." However proselyting missionaries were no longer allowed in Russia in 2016 due to anti-terrorism laws in that country and statistics are no longer available.
In the Middle East there are 4 congregations in Israel with 300 active members including BYU students and embassy workers (see reader comment below), 365 members in Kuwait, 245 members in Bahrain, 1,699 in United Arab Emirates including a stake center.
The BYU Jerusalem Center is NOT a proselyting center, but an educational institution. It is presently closed, due to the COVID-19 pandemic. There is no intention for the Jerusalem Center to ever become a temple or a mission home as such would be in direct violation with the Church's agreement with the government.