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. 
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 