There are a few more. There is a screwdriver shaped very similar to a Phillips but the inside corners of the + are perfectly square, it’s also pointier on the end but with less taper IIRC, it’s called a Reed and Prince. Avoid mixing R&P and Phillips screws and screwdrivers. I also saw an odd one that had a slot like a phillips but with each section slightly offset to one side. Hard to descirbe without a drawing but it gave the effect of a pinwheel instead of being radially symmetrical like a +. It was used on the waveguides in the radar set of an F-14. I think the official name was hi torque but we called them swastika screws.
I think the technical term for the style of screwdriver you’re looking for is “really cheap screwdriver”. I’ve never seen where you could buy one of these…they’re usually included in cheap tool kits that are included with something else, or packaged with an item that requires assembly (“Tools Included!”). They’re cheap to manufacture, as they don’t have a “real” handle, but they’re typically made of relatively soft steel and wear out quickly…
If Santa is in a really good mood, try and get him to bring you one of these Leatherman Wave , you will never regret it. Best thing since the last best thing. I have had one for about five years and it is the single most usefull tool I have ever owned. Expensive but worth every penny, until you lose it. I have regular panic attacks until I manage to re-locate it.
There’s also the ever-popular tri-wing fastener http://www.phillips-screw.com/images/FullTriwing.jpg and the rather hard-to-find clutch-head fastener http://us.st7.yimg.com/store1.yimg.com/I/toolsplus_1823_136438420 (picture of drive bit, the fastener head is the corresponding female shape)
Another option would be to braze on a standard magnetic hex receiver. Then with a set of standard hex inserts, you could tackle standard, phillips, torx, allen, clutch, robertson, tamper torx, tamper hex, tri wing, frearson, pozidriv, spanner, bristol, and perhaps some others I can’t remember.
I work in IT, also, and I gotta give a big “Amen” to the Leatherman and it’s ilk. I got one for Christmas many years ago, and now I find I can’t leave the house without it. Literally. If I forget it, I have to go back and get it; it never leaves my side. Not a day goes by that I don’t use it for something. Some of the other multi-tool brands (like Gerber) have a quarter-inch bit attachment. There are also IT-specific versions available.
Sorry to hype the Leatherman, but I have a set of various different bits that include the options given by danceswithcats, that clips on to the standard Leatherman Wave. In all honesty, I have only ever used it a couple of times, the standard set of tools being well judged and normally more than adequate.