Depends on how you define Asian…
Here is an interesting link to consider from the USCCB:
Asian and Pacific Presence: Harmony in Faith
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from which I pulled this excerpt:
**Following the Witness of Martyrs
**Besides these living role models, Asian and Pacific Catholics come to the United States with a long heritage of extraordinary witness of life and martyrdom. The Church recently recognized many Asian saints and martyrs; however, the total number of saints and martyrs could fill an entire Asian and Pacific Litany of Saints.
From India, Gonsalo Garcia was canonized in 1629 and John de Brito in 1947. More recently, Pope John Paul II beatified Blessed Joseph Vaz in 1995.
From Japan the heroic witness of St. Paul Miki and his companions, including Gracia Hosakawa, Ludivico Ibaragi, Michael Kozaki, and Takayama Ukon, have been honored by the Church.
The Church in Korea suffered more than 10,000 martyrdoms. In 1984, Pope John Paul II canonized 103 martyrs in Seoul. Outstanding among those saints are St. Andrew Kim Taegon, the first native Korean priest, and Chung Hasang and Kim Hyoim, who were heroic lay leaders.
The Philippines’ first martyr, San Lorenzo Ruiz de Manila, was canonized in 1987. Catechist Pedro Calungsod was beatified in 2000.
It is estimated that more than 130,000 Vietnamese Catholics died for Christ’s sake during persecutions from 1625 to 1886. On June 19, 1988, Pope John Paul II canonized 117 of them, including St. Andrew Dung Lac, St. Phanxico Xavier Can, St. Vincent Diem, St. Phaolo Le Bao Tinh, St. Phero Nguyen Khac Tu, and a woman, St. Agnes Le Thi Thanh. On March 5, 2000, Blessed Andrew the Catechist was beatified by Pope John Paul II in Rome.
Also on March 5, 2000, Blessed Nicholas Bunlert Kitbamrung, the Thai Church’s first martyr priest, was beatified.
From China, 120 martyrs were canonized by Pope John Paul II on October 1, 2000. Of these, thirty-three were foreign missionaries and eighty-seven were native Chinese, including Ahan Wen Lan, Pei Xio, Zhan Da Pun, Liu Shui Tin, Cao Gul Ying, Liu Wen Yuen, and Liu Han Zhou.
Among the many Eastern Catholic martyrs and saints are Blessed Mary of Jesus Crucified, born of a Syrian family in Galilee, who was beatified in 1983; Blessed Joseph Kassab Hardini, who was beatified in 1998; and from India, Blessed Kuriakose Elias Chavara and Blessed Alphonsa Muttathupadath, who were beatified in 1986, and St. Marian Theresia, who was canonized in April 2000.