I tried that same resolution a few years back and felt sooooo guilty whenever I bought anything (including thread because I have almost as much thread as fabric), so I decided to amend the resolution. I decided that unless the project was for a class that I was teaching, in which case I would use current fabrics available at the shop so as to encourage others to purchase fabric (boy that sounds bad!), I would use at least one fabric from my stash and supplement as needed. That sure worked well and before I knew it, I was using LOTS of stash fabric.
I haven't completely depleted the stash and I no longer always start with stash, but I sure feel better and the stash is noticeably smaller. I also think it has made me better at matching fabrics, or as my friend says "color/fabric specialist."
Good luck and I look forward to seeing your creations!