I would really appreciate some feedback on this, as I only run Ubuntu Hardy/Intrepid through Live CD's:
I believe this will solve the problems for most people unable to launch pSX in Ubuntu Hardy/Intrepid. Try the following packages and see if they work for you in Ubuntu Hardy/Intrepid 32-bit/64-bit. If you don't feel like installing a new package, all I did was add a script to stop pulseaudio, launch pSX, then start pulseaudio once pSX is done running. Rather simple solution that I should have thought of back when Hardy was released, thanks for the help everyone!
Here's the content of the script:
Will be updating the repository and the front page ASAP, thanks a lot everyone!
# A script to disable pulseaudio, run pSX, then renable pulseaudio
gksu /etc/init.d/pulseaudio stop
gksu killall pulseaudio # Forcefully ends pulseaudio if still running
gksu /etc/init.d/pulseaudio start