Good day sir! I hope you are open to these general advice I'll give. These are all of the things I've learned from experiences as an artist who has gone through a lot.
First of all, I won't stop you from drawing illustrations using an anime inspired style. That's what you want and I respect that right of yours as an artist.
However as artist, we should ask ourselves this question that involves every artist in whatever field they are into: 'Am I really satisfied with what I can do and what I have done?'
If you are, then the whole world will move ahead of you, they will leave you behind at the spot where and when you told yourself that you are satisfied. If you're not, then you have the advantage of getting ahead of the world, and yourself.
Now I presume that you are not satisfied with your current quality, that is why you made this thread here right?
In your case, as a person who does illustration in anime style let me ask you this: In a modern world where there are so many people drawing in that style, what can you do as an artist to stand out, to contrast yourself from the rest for the whole world to see. I can't give you an answer, that's something that you should find out for yourself. Because, art has no rules. No one can tell you how to do things because every individual has his/her own method of efficiency of doing things. What matters is the result that you are aiming for.
However, art has to start somewhere, wherever it aims to go.
So whatever style one person chooses, it has to have a foundation. Style is an advancement from the foundation; It's a distortion of reality. Without those foundations(Basic anatomy, lighting and shadows, perspective, foreshortening, gesture drawing, basic color theory), the foot base and pillars of our advancement, then you cannot get anywhere.
Understanding how to draw a human face, or better yet, the composition of the human skull, its contours and protruding edges, its effect on how the skin and muscle appear, drastically contributes to how we distort things. Don't just look at a human skull or human face and copy it. You must analyze and understand it. Copying will only give you the ability to project what your eyes saw that moment. As artists we gain knowledge to gain power and understanding.
I hope this was helpful. Thank you for your time