There are six realms in Buddhism (mostly Tibetan Buddhism) into which one may be reborn. These are the realms of
- gods (through pride)
- demi-gods (through jealousy)
- humans (through lust)
- animals (through ignorance)
- hungry ghosts (through greed)
- hell-denizens (through hatred)
As you can see, rebirth is not a good thing. Westerners often mistake rebirth to be a positive notion. This partly has to do with shared terminology with Hinduism and Jainism (religions existent at the same time and place as Buddhism), and partly to the lack of any concept that is similar to it in Western cultures.
To be clear,
- the goal of Buddhism is to end rebirth (reincarnation) and
- enlightenment is the state in which all future rebirths have been extinguished.