On the other hand, some are very welcome and have an important place in culture. For instance, the famous Halley comet travels past us every 76 years and its passing has been a celebrated event by the people of Earth since the year 240 BCE.
Asteroids may not be as pretty, but are certainly worth looking out for. In fact, asteroid DA14 is due to pass by Earth on February 15th 2013 so close to the planet that it will actually be closer than our orbiting satellites.
Meteors may be the most important term for us to be familiar with. Here is an example of the effect a meteor can have on us. This is the Barringer Meteor Crater in Arizona which is about a mile in diameter and was formed by a meteor only about 150 ft wide.