The Invincible comics don't have nudity. They adhere to a standard of presenting exciting plots and engaging characters without including such elements.
The Invincible comics are finished. There's no more new content coming out in the comic series. But you can still enjoy the existing issues and re-read them for a great experience.
In most comic storylines, Beast Boy is not shown to be a vegetarian. His focus is more on using his shape-shifting abilities to fight villains and save the day.