Page size
POWER supports both 4KiB and 64KiB page sizes; this is in contrast to x86, which supports only 4KiB.
Performance
64KiB mode yields performance improvements for some workloads, if sufficient RAM is available. However, 64KiB mode also incurs higher RAM usage, so users with limited RAM will see better performance in 4KiB mode.
Porting Buggy Software
With rare exceptions (e.g. emulation), correctly written software will work in both 4KiB and 64KiB modes without issues. However, if software was only subject to QA testing on one page size, there is a nontrivial chance that it was written to rely on assumptions that only are accurate for that mode. Such breakage is most common in hardware drivers. In practice, this means that hardware drivers that were exclusively tested on x86 are likely to exhibit bugs in 64KiB mode, while some POWER-specific hardware drivers are likely to exhibit bugs in 4KiB mode.
The Hardware Compatibility List may be helpful in checking which page sizes your preferred hardware's drivers support, or finding hardware whose drivers support your preferred page size. For checking other software support, the Ports List may be helpful.