I'm not sure I know what you mean by ABI here? ABI in this case to me would mean Application Binary Interface, IE the C ABI that's defined by the platform and not the processor.

A number of architectures have published standard ABIs. ARM, PowerPC, MIPS, Itanium are all in this category. In some cases these are explicitly embedded ABIs (sometimes EABI).

For ARM, all major OSes I'm aware of use the ARM EABI2. (Note both the Linux kernel and gcc support other ABIs, so there is a real practical choice here.)

For PowerPC, at least all the little-endian 64-bit work for POWER8 has been done targeting the standard ABI. (I have no memory of whether big-endian ABIs for PowerPC follow the standard.)