We had an excellent discussion on another (private, sorry) forum with regards to a member who wanted to put together a toolbox for his daughter before she went to college.
The general consensus tended to sway towards the smaller, less glamorous items, and your list would have fit right in. Yes, everyone should have a drill, but it's hard to hang shelves with that drill when you don't have a studfinder or a level. Anyone who's working with a saw is going to need those clamps you mentioned, and probably a ruler or tape measure.
As a geek, my personal toolbox favorite is a headlamp. (And in my age bracket, having a really comfortable allen wrench set is great for moving IKEA furniture.)
That looks a lot like my list. In additional to the clamps you list, a set of saw horses make one-man jobs possible that would be very difficult otherwise. Ladders are essential as well. The longer you own a home, the longer the list grows.
table saw, jigsaw, reciprocating saw, circular saw, cordless 18v drill/driver, cordless 18v impact driver, corded hammer drill, compound miter saw, dremel, air compressor, nail guns, wet/dry vac, clamps, levels, squares, plumb bob, pry bars, hammers, drill/driver bits, screwdrivers, chisels, torque wrench, pipe cutter, drywall saw, drywall sander, tape measures, stud finder, hack saw, coping saw, post hole digger, pliers (many kinds), wrenches (many kinds), drywall pan and drywall knives, putty knife, voltage tester, GFCI tester, caulking gun, respirator, work lights, tin snips, 12v battery charger, 20 ton bottle jacks.