I use a medium priced dial one that I got from a photo store. I have access to a Kodak mercury process thermometer, and when compared to that, it is right on. I have found that the dial ones, which I find easier to use, are more suseptible to a knock, but of course glass will break. The difference being you can bang your dial themometer out of whack, but it if still works you may not realize it is out a few degrees untill it is too late, but if you break the glass, you know you need a new one!
All of these should be checked from time to time, but mainly they need to be consistent. If it is one or two degrees high or low, it won't really make a difference, as long it and your method is reliable.
Refering to another point that a previous poster mentioned, the mercury themometer that I check against is has a stainless steel surround, which makes it safer, and it also can be used as a stir stick. I have no idea if these can still be bought from Kodak, but they were available from them in the past.