What does pcsxr do better than epsxe? i hear you badmouth it about age, but nothing specific.
It isn't just about something as trite as "doing better than" but the whole intent behind the emulator. One of the key features of emulators nowadays is being open source because that guarantees a certain development frequency as well as longevity for the project; as proof of this you can look at how the venerable Nestopia, abandonned by its original author, got picked up by someone else and
given a new (un)life. Now ePSXe is pretty much outdated at this point—it got a couple of releases over the last few years but really nothing major or in any way significant, and compatibility with some games even broke so that users were encouraged to use an older version—and its closed source state means that it is stuck into a technological dead-end and nothing is likely to change. In fact the biggest news of the last few years on the ePSXe front is
the Android port, which is of course not free. And yes, I know about the Shark patch for ePSXe. Ironically, as if to confirm my claim, it is aimed at the previous version of the software and doesn't look to be receiving many updates with the last entry being January of this year. Plus it looks more like a band-aid than an actual attempt to solve the flaws from the very ground.
My favourite emulator, for good and ill, was pSX but I dropped it for the reasons I cited: closed source and no more updates from the original author. Unlike Nestopia, this means that there won't be any updates unless the author decides to release a new version, which is not only unlikely at this point and even then there is the risk to run into exactly the same problem again.
As for PCSX-R, I'm not fond of it but I'd rather use it instead of ePSXe because it is still being worked on and improved. As for the actual "doing better than", you can probably find it yourself: fewer glitches, better compatibility, better plugin support, better screen support, etc. Still it is an enhancement emulator and I'm more interested in accuracy, so … I'd rather run Mednafen, which also has the advantage of not requiring the user to fumble with plugins, but that will likely have to wait until I get a decent PC here.