This one is in so many "health foods" so you really need to read the ingredient list. Most soy, rice and nut milks have it. Manufacturers are starting to make some without but they are not always easy to find. It's in lot of dairy products and soup broths too.

http://www.cornucopia.org/2014/01/carrageenan-natural

It is increasingly difficult to find products without additives. You have to seek out those who stick to making things the old fashion way. Additives are used to save time and money.