On eBay there are cheap ceramic vegetable peelers like this:    Do they work well? Right now I have a simple, knife-like peeler with a hole in the middle which I hate and I'd like to change. Does this type work better? 
I find them horrible. The wobbly top doesn't allow to put any pressure and instead of cutting into the vegetable, it flips and scrapes it or slides. The theory that it will follow the shape of the surface is flawed - to get it to sink under the skin you have to push and the flimsy construction feels like it were to snap. Also, the angle is good only for biggest vegetables, you'd have a hard time trying to peel a smaller potato, and with softer vegetables the required pressure will squeeze them. If you try to peel a raw carrot, the blade will catch, flip and then scrape instead of cutting. If you peel a boiled one, it will drag the skin or just snap the carrot if you press harder, to cut.  vincebowdren suggests a better model, the blade is fixed to the handle, at an easy to use angle (the fact the blade is perpendicular like in a shaving razor, is a marketing trick to suggest it works as well as one; it doesn't, trust me.) You can control the angle and pressure better, and it only maintains cutting depth, plus the tip is great for picking out "eyes" out of potatoes and the like. 