No, there won't. The motivation for the lgbt tags is a bit different. You tag the content you experience, and since for example non-gay people usually do not like to experience gay content, it makes it easier to find such content for interested people and avoid it for not interested people. It is typically content, where sexuality matters.
What type of content would it be, where race matters so much that you want to tag it?
You could tag just about any anime game as poc. And having a poc npc is not worth mentioning. At least it should not be worth mentioning. So what is left would be tagging the race of the protagonist. Wich would be rather racist, especially, if you only give the information that he is not white.
(Technically, there already is such a tag. But no one uses it for several reasons. Foremost that it means proof of concept in the context of computers)