I plan to cook a thai dish this weekend and I search for drinks to serve along to that. In particular it will be a chicken dish with lemon gras.
This is forked from another question of mine.
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I know you're looking for likely alcoholic drinks, but the ever popular Thai Iced Tea is great because the cream in the Thai iced tea cuts the heat from the Thai spices. So even in that vein, I would suggest creamy drinks. I know the cultures are not similar, but it seems like white russians would taste great with Thai food.
Here's a link of creamy drinks: http://www.cocktailsonline.tv/cream.html
I recently came across an article that said sweet Sauternes wines were a great match for Thai food. A quick search on Google leads me to believe that this may not be as crazy as it sounds. Here is an example: http://www.thewinecellarinsider.com/forums_new/showthread.php?46-Sauternes-and-food-pairing-question-from-Chateau-Coutet
In that thread a person says he has had great experiences of pairing Sauternes with Thai food, particularly a 1975 Chateau Rieussec that he had at Lotus of Siam in Vegas.
If you feel adventurous, maybe that is a way to go.