Some useful IPC standards for the PCB designer:
IPC-2221 Generic Standard on Printed Circuit Board Design (recently updated, not free, but available at a discount for designers. Probably can find an older copy or two floating around on the net)
IPC-6012C Qualification and Performance Specification for Rigid PCBs (this is where "Class 1, 2, and 3" are defined)
IPC-7351 already mentioned by others. It's overdue for an update, and one is coming, but it sounds like there is still a lot of debate between the committee members, Rev C is the next version coming)