what are the kinds of mirror?

Answer 1

Well, there are the normal cosmetic-type mirrors, which have a silvered backside. You have to look through a layer of glass to get the reflection.

Then you have Front-surface mirrors. These are the ones you don't touch with bare hands- they are silvered on the front so that sensitive optical equipment don't get a sort-of echo from the glass.

Answer 2

In decorating mirrors come in different shapes and styles:
http://www.homefurnishingdecor.com/mirror.html