The last two major natural disasters to have hit Asia were both tsunamis. One of them was in the Indian Ocean in 2004 and the other was in Japan in 2011. The tsunami in the Indian Ocean is called things like the Indian Ocean Tsunami and the Boxing Day Tsunami. The one in Japan is called the Touhoku (a region of Japan) Earthquake and Tsunami.
Both of these tsunamis were caused by earthquakes that happened off shore. The movement of the earth in earthquakes can often displace water, causing tsunamis to happen. The Indian Ocean Tsunami caused a much greater loss of life than the Touhoku Tsunami. It killed over 230,000 people. This is believed to have been the deadliest tsunami in history. The tsunami in Japan did not kill nearly as many people. The death toll there was about 15,800. However, this tsunami did cause a major accident at a nuclear power plant. That accident caused a large area around the plant to become uninhabitable.
These are the two most recent massive natural disasters to have occurred in Asia.