This site is not just for kids, but it is very kid friendly. You'll find a timeline, detailed information, illustrations, historic buildings and quizzes. Definitely worth a visit either for fun or serious study. Nicely done site with an interesting timeline that compares Myanmar history with major world events. Nice frame of reference.
Links lead to more detailed information.
The Making of a Nation Concise history of Thailand, including the influence of and relations with Cambodia and Burma and the succession of rulers. The stunning visuals are the best part of the site. The History of the Philippines Enormous and comprehensive site on Philippine history, covering prehistory to modern times. There is no navigation between pages and not many visuals, but the information is good. This is one brief page of the history of Bangladesh, from ancient to modern.