Sea Fan

The Common Sea Fan (Gorgonia ventalina) stands majestic waving at the currents. This coral is easy to identify due to its shape. There are other close varieties in the family, but aparently they are found less frequently in the Miami reefs. Also found it named Purple Sea fan

This short video shows the waving movement

Purple Sponge

This beautiful sponge shines in the reef due to its purple color and distinct shape. 

I believe it belongs to the Callyspongia family, but have not been able to identify it to the species level.