Kjou, I was fascinated by your question, so I did some googling.
I learned that occasionally you can put "new " before "something" if you put an article before "new." Here is an example from a novel that I found in Google "Books": "This was Annie's solution to most things in Ryan's life. Something bothering you? Get a new something." -- Heidi Hutchinson, Brand New Sky (2015). I, not the author, emphasized the "a."