Yes, there are several! Most of the Caulerpas, Ulva and Grasilaria come to mind. There are also more that are considered undesirable, like Dictoya, though some of them are nice. Generally the greens grow faster than the reds. You might enjoy this site:
https://www.marineplantbook.com.
I had a nice fresh water planted tank myself. Now I've combined what I learned from both fresh and salt, in a marine planted tank, with seagrass and macro algae. It sounds like you are interested in going that direction as well. You might get some good info from my thread, Weeds, here in the Macro Section.
I hope this helps!