Ok well the main ones are VLF(Very Low Frequency) and PI(Pulse Induction). I was going to go into a detailed description for you but then found a post by Whites detectors that explains it all way better than I ever could. It gives you a pretty good run down on how both types of detectors work and the main differences.
http://www.whiteselectronics.com/the-hobby/knowledge-base/field-reports/how-metal-detectors-work
http://www.whiteselectronics.com/the-hobby/knowledge-base/field-reports/how-metal-detectors-work