Chai sounds great...but very similar. It sounds very similar to what is called Thai Iced Tea found in many Thai restaurants. I have no idea what the Thai name is for Thai Iced Tea. Also, of course, it is served over ice.
Also, one half of my family is from the UK, and they make their tea with milk, and often spices. Same kind of drink. The English have been around the block.
I love Thai iced tea, too!
If you happen to live near an oriental grocery store, see if they carry bottles of Thai Black Tea by P.S.W., Inc. It's already spiced and ready to drink - you just add the ice and cream (there's even a recipe on the side of the bottle.
The address & telephone number on the bottle are: