If your talking about general tools that every household should have, thats one thing. If you mean bicycle specific thats another. when I moved out I went to sears and dropped about $200. this is my household list:

good ratchet/socket set (2 drvier sizes, deep well's, pivotable adapter)
rechargable screwgun w/ multiple bits (hex, star)
open/closed end wrenches (standard & metric)
allen key set (standard % metric)
screwdriver set
good hammer (estwing, craftsman, stanley) 24oz
hinged tools (pliers, channel locks, vice grips, needle nose, wire cutters.)
if you can afford it a dremel tool comes in handy as does a soldering iron, maybe a multimeter.
dont forget some consumables like nails, screws, zip ties, electrical $ duct tape, picture wire, twine...

Bicycle specific:

torque wrench (if you have any carbon bits)
chain tool
crank puller/bottom bracket tool (depending on your frame)
chain whip/cassette tool
tire levers
floorpump