It has taken a moment, but I have finally discovered my necessary items when I sit down at the wheel:

Pointed Wooden Trimming Tool - I use it to keep the wheel clean, trim the bottom of the piece

Metal Kidney & Plastic Kidney - I use it to help with final all forming, slip trimming and final clean up before removal

Needle - Use it for any uneven rim trimming

Small Sponge - I hope to become less reliant upon the sponge, but for now, I use it for my pulls

Wire - I use it for removing the final product