1. Scissors - A very basic tool. A scrapper usually have a lot of scissors, one call it an obsession like me and my mom. I recommend using a non stick craft scissors - All About Scrappingbooking of Filstars sells an 8 inch version of this one, and I have three myself! Why non- stick? Because at times, one would need to use them on double sided foam tape or double sided tape and there is a distinct advantage of using this type of scissors on such sticky material.
There are also a lot of decorative scissors or special scissors that leave a special kind of cut - these are also available locally. The decorative scissors cuts leave a different or special touch on borders, frames, and mats.
3. Double sided tape
5. Cutting board / self healing mat