This is probably going to turn out a rather long and Listy blog. bear with me - it will be worth it....
To build a Reprap you will need the following tools.
A Drill and Drill set covering at the minimum 2 mm to 8 mm in 0.5 mm sizes.
Small drills: 1.5 mm, 1 mm, 0.5 mm for PCB work and the nozzle.
Selection of Allen keys, Spanners, Screwdrivers, Nut Spinners to suite your fixings.
A selection of Pliers and Cutters.
Crimp Tools to suite your electrical connections.
Exacto Knife, Stanley Knife and SHARP Blades + A Cutting mat.
Tweezers: Needle Nose, Screw catcher and curved.
Files and a selection of Needle Files.
Small Bench Vice.
Junior hacksaw and good blades.
Good quality Soldering irons and soldering Kit.
Test Meter and selection of leads.
Vernier calliper (digital makes life easy)
Tools that will make your life much easier.
A Pillar Drill + Accessories to go with the drill.
Dremell + good selection of tools.
Access to a Lathe.
Parts Bin stack.
Small Vacuum Cleaner