Yeah sure, anti-matter sure do exist. One of the earliest found and most common is the positron.
The positron is the electron's anti-matter (if I could put it that way). It has the same size (mass and diameter) as an electron, but has a positive charge (whereas an electron has negative charge). If it meets an electron with opposite spin, they annihilate each other and energy is given off.
You probably don't know about spin, so I'll just give a simplified explanation. An electron can spin one way or the other. (In physics we call it +1/2 and -1/2, but we won't bother about why 1/2.) We can say it spins clockwise or counter clockwise. So, if an electron with spin of +1/2 meets a positron with spin of -1/2, they just wipe each other out with a burst of energy. Cool huh? Actually been done.
So yeah, anti-matter does exist. They are not the stuff of science fiction like many tend to believe. There are many other anti-matter (other than the positron, that is). In fact, scientists believe that there is more anti-matter in the universe than there is matter. Why doesn't anti-matter just wipe out matter? Well, the universe and space is a very very large place, and those two seldom meet. And even if they do meet, it's not like tons and tons do it at the same time and make a big bang. So yeah, they do meet, but their collisions don't result in some major catastrophe like the end of the universe or anything like that, heheh.