I smell a Dragon

I'm a comic book lover, specifically anime and manga. Initially I thought of a comic book course but I wondered if it was as complete as one of illustration or animation.
Is the figure of the cartoonist equivalent or different in abilities compared to an illustrator (perhaps in coloring, in drawing and digital painting, in perspectives, in poses ...)?
Can a cartoonist use colors, paintings, illustrate, animate or make concept art / character design for video games? Or is it easier to vice versa, ie for the illustrator to try their hand at making a comic?
The courses are varied and interesting, such as: concept art and character design for video games, animation, comics, illustration. 
But which one to choose? Which course gives the most solid base so that you can then range in other fields with practice? Is it better to start with a traditional or digital course?