Hi there,
You're right that there are many "voluntourism" programmes out there where is seems as though helping others make a better life for themselves seems to be a secondary motive to making money from volunteers.
A previous poster mentioned WOOF, and I have also heard good things about:
http://grassrootsvolunteering.org/
and the programmes offered here (if you had a change of plan from Asia!):
http://www.volunteersouthamerica.net/
Other organisations for longer-term (12 months+) placements include VSO for those with professional skills. They pay your flights and living expenses plus a small daily allowance which is enough for food/basics. You need to do some fundraising, but it's not a crazy amount. I believe they're multinational, so could be options there. Happy to offer advice on their application process if you'd like, as I'm registered with them as a volunteer.
In the UK there are also organisations who have shorter-term Govt-funded placements - 12 weeks or so - for those in the 18-25 age category. ICS and Raleigh are a couple of examples - there may be something similar in your home country if you're not UK-based.
Hope this helps,
Julie

