What are the common IPC standards for PCB's

Only FPC flexible circuit boards for PCBs.

You are talking about the IPC standards for PCB's right

Like these:

IPC-A-610E (Acceptability Requirements for Electronic Assemblies)

IPC J-STD-001E (Soldering Requirements for Electrical and Electronic Assemblies)

IPC-7711/21B (Reworking &Reworking of Electronic Assemblies and Printed Boards)

IPC-A-600H (Reworking &Reworking of Printed Boards) amp; Rework)

IPC-A-600H (Acceptance Conditions for Printed Boards)

IPC-A-620A (Technical Conditions and Acceptance Requirements for Cable and Harness Assembly)