You might be surprised to learn that in the trademark law, common words like "paper" or "candy" can be used by multiple companies without them infringing on each other while "Coca-Cola" is way too specific for that.
The Coca leaf isn't used anymore due to the prohibition of cocaine.
Randomish link from a quick search: http://dish.andrewsullivan.com/2012/02/25/coca-cola-is-still...