What are the possibilities of attractive Titles for Graphics and Web Designer Profile?

I don't believe in titles.
Yes, it may be a attractive for a brief moment to have Art-Ninja or Design Jedi up front.
But if you don't have the credentials and the "beef" to back it up, then it can actually work against you.
Funny titles were in a few years ago where every other person would have a novel way of calling themselves like "The Big Cheese," Something-something guru, etc.
But the novelty of that has worn off and people (who matter) can see through them.
I suggest you keep it simple and direct to the point and most of all, honest.
If you're quite green and new to the industry, don't worry about credentials.
Again, the people who matter won't be expecting you to have done a lot if you're just a year or so out of college.