That thin laminate layer from Nintendo will come right off. Then you have three options;
1. Re-laminate it if you have the time, money and skillset.
2. Wrap it in thin black vinyl.
3. Sand it, primer it and then paint it.
I am sure there are threads/videos here or on You Tube to walk you through these options.
Really depends on your time, budget and how you want the end result to look.