If you can get by in Bahasa, the Indonesian weather and geographic office, or BMG, has local weather beta.

The English-language PAGASA site has weather info for the Philippines.

In the city-state of Singapore the NEA has regional forecasts.

For Asia, CNN has forecasts and current weather maps as well as satellite images.

In keeping with its worldly outlook, the BBC tracks weather in Asia and around the planet. Their country guides also provide helpful portraits of regional conditions.