Is this correct?

Here are the main categories: chemical elements games, astronomy games, cell games, Dino might, seasons, life cycles, animal classification and deep sea science.

It is an acceptable sentence but I had never heard of "Dino might" (until now). If it is a particular copyrighted game or book, it does not quite fit the general categories of the other games and subjects listed.

http://www.amazon.com/Dino-Might-Michael-Burgan-Wenzel/dp/1584760427

DrWLS is correct. If "Dino might" is the name of a particular game and all the others are categories of games, then you need to either make all the parts of that series categories or all specific names of games. If you don't correct this, you have a problem with parallel construction.

http://grammar.ccc.commnet.edu/grammar/parallelism.htm

Thanks for the help

Yes, the statement is correct. It lists several main categories of games: chemical elements games, astronomy games, cell games, Dino might, seasons, life cycles, animal classification, and deep sea science. Each category likely represents a different type of educational game related to that topic.