To add to your list, based on a Campy group:

Chain tool. Either a standard Park CT-3 if you are using a Wippermann or KMC chain or a Park CT-4.2 if you are using Campy 10 or 11-speed chains plus a Park CT-11 pin riveting tool for the Campy 11-speed chains or Campy's wildly overpriced equivalent to the Park tools.

Wire cutters aren't the right tool. A cable cutter is needed to do the job right. Park makes OK ones and Shimano and Felco make excellent ones.

Campy hubs don't need cone wrenches so you are alright there.

Torque wrenches. You need two, a 1/4" sq drive with a range of 0-60 inch-pounds for small delicate things like stem and handlebar clamp bolts and a 1/2" sq drive with a 0-600 inch-pound range for high torque jobs like bottom bracket cups and crank fastening bolts.