I use thai basil like any basil I have. I grow this and use it in dishes with chicken and beef. I also put them in my italian recipes as well because I think they have a nice strong scent with an undertone of Anise.
Go ahead and mix it with whatever you would use italian basils with.... even pesto!!
(P.s. - Thai Basil is good whole in asian stir fries as well.
also check out recipes for thai curries they use a lot of fresh basil ..even if they dont you can add some
you can buy really good thai curry paste to make the curries easier
but if you have a lot of basil you may want to try to make your own green curry paste
I can find a recipe if you like but it is another one you can just do a search for there are tons of Thai and SE Asian recipes and recipe sites online
I put it in ice tea as well it makes a great drink!
also review back to Hatties post on unusual cakes there is a lemon poppyseed recipe with basil in it I bet yours would work perfectly to highlight the flavors of the basil!