Dragonball Comedy
Description
Super Saiyan Level 2 is a relatively small jump from Super Saiyan level 1, but the power gain is significant. A Super Saiyan at level 2 gains much more power and skill, and is vastly stronger than a super saiyan level 1 or an Ultra super saiyan. A level 2 Super Saiyan looks a lot like a level 1 Super Saiyan except that they have spikier and more golden hair, their muscles are slightly larger and they have small electric waves circling their body occaisionally. As well as this the golden aura becomes a lot larger.

The Alternative Theory
As mentioned in the Ultra Super Saiyan description, the USS form was the start of the saiyan transformation into Nazi's. Here in the level 2 form, we see their true evil nature unfold. The vast amounts of Pot Noodles has warped a Saiyans mind and by the time they hit level 2, they believe themselves to be Nazi supermen. Just look at them for a start, Blonde hair, blue eyes. They ARE the Aerian race and in their minds now, they must cleanse the world of all those who are not "pure". The electric bolts circling them are as a result of magical pixies who killed the vidal sassoon stylists of the super saiyan level 1 form taking over and making pretty patterns around them.