VakratundaMatsaryasura, the demon of envy,
and his defeat by Lord Ganesha is a testimony to triumph over envy.
The second incarnation was Ekdanta
. The incarnation got the name because of Lord Ganesha being single tusked. This avatar was born to defeat the demon Madasura. The demon Madasura represents intoxication
The third manifestation of Lord Ganesha is Mahodara
or the big bellied one. He was born to kill the demon of delusion, Mohasura. This incarnation of Lord Ganesha also destroyed Durbuddhi (negative thought) and Jnanaari (Enemy of knowledge). Mohasura
was born out of momentary confusion of Lord Shiva.GajananaHe was born to slay the demon of greed, Lobha.
The fifth incarnation of Ganesha is Lambodara who killed Krodha, the demon of anger.Vikatadefeated Kama, the demon of desire.
Vikata is the sixth incarnation of Ganesha.
The seventh incarnation, Vighnaraja destroyed Mama (lit. - mine), the demon of ego.
In Sanskrit, Vighnaraja means the king of obstacles.
The last or the eighth incarnation of Ganesha is Dhumravarna
(smoke colour). The incarnation got victory over the demon Ahamkara (narcissism).http://http://forums.about.com/n/pfx/forum.aspx?tsn=1&nav=messages&webtag=ab-hinduism&tid=3050
Sleeping Bala-Ganesha (Child Ganesha)