Cordless drill, hammer, flat bar, level, hand saw
There are a lot of people whose only tools is an SAK or LM they keep stuck in a drawer. And from personal experience (mostly from out in the field, when I had no other tools)--that ain't gonna cut it. Mine would be. And this is mostly what's in my toolbox. A bit extensive, but a lot of the cheap homeowner's tool sets include a similar list. Decent Flashlight (most of those homeowners tool kits include a piece of junk). Adustable WrenchHammer (claw)Hammer (soft face)Multi-bit screwdriverLinesman's pliersNeedlenose pliersWire CuttersChannellock or Knipex Cobra type pliers. I prefer the latter, but Channellock is cheaper and American made. Pry Bar (something like the old Stanley Wonder Bar; that was my first)Utility KnifePipe Wrench (about a 10" will do)Plierrench (yes, this is an odd, specialized tool that's been discussed here before. But a full set with all the jaws will save a ton of headache for several tasks. Precision Screwdriver SetHand saw. And maybe some assorted hardware: Some homeowner's tool kits, again, include a little bit of this stuff, but the quality is BAD. Duct TapeElectrical TapeSteel Wire (I find a roll of rebar binding wire is something always handy to have around)Photo Hanging KitAssorted NailsAssorted screws (All three of these can be found in assortments that are under $5 total)