Are you looking for the trade name as in what we call them in the hobby? Are you looking for what type of coral they are (LPS, SPS, etc)? Do you want to know the scientific name of the coral?
Pictures 1, 3, and 4 all look like Acropora, though I don't know the name. The rest are some sort of LPS. I'm not great with LPS though, so I don't know what they are.