all that games, i believe, are very machine sensitive - and claim double checks on the plugins you choose - a lost of sync means a working but not playable game in that case...
parappa the rapper and bust a groove both work in epsxe - but, deppending of your specs maybe is required some kind of "sensibility adjust" of your part... maybe you just concentrate in the rhythm and forget the visual sync - maybe you stick with visual sync and forget audio... its a heuristic process...
anyway, the best way to play such games is shaking the head to mark the rhythm - but please observe a safe distance of the monitor
I have tested epsxe 1.4 with DDR and parappa. The result is as follows:
All DDR work with CD timing option check OR use the command line '-cdtiming'
Parappa and Um Jammer lammy doesnt work, for me at least
Oh BTW DDR4 tends to crash on opcode error.
hope this helps