Your GFCI (US Canada) or RCD will be on the distribution board and be somewhat bigger than the other breakers - it will not have tripped and has no bearing on the fault you have - if it had tripped then everything in the house would be off.
The most probable cause of the condition you have is a break in the neutral line - i.e. power is getting to the switches, and even to the light bulbs when the switch is on, but there is no return path and no current flows.
An electrician will be able to find the break and repair it very quickly based on what you describe.
Good luck...Take care...
Peccavi, January 2010