Must have:
1 - Wire cutters and needle-nose pliers
2 - Utility knife
3a-b - Screwdrivers (flat and Phillips, big and small)
4a-b - Wrenches (standard and metric)
7 - Adjustable wrench.
Stuff that will make your life easier:
5a-c - Ratcheting screwdriver with interchangeable bits
6a-b - Socket set
8 - Hex keys/Allen wrenches (standard and metric)
Must have:
3 - Level
5 - Vise grips
6 - Channel locks
Great to have:
1 - Saw
2 - Hacksaw
4 - Square
Must have:
2 - medium hammer
3 or 4 - heavy hammer
Useful for reinforcing Swedish furniture with extra wire nails:
1 - Yes, it's a craft hammer. The others will accomplish the same thing, but the combo of this hammer and wire nails results in less damage to my thumbs.
Must have:
3 - drill
Fun and convenient:
1 - reciprocating saw