SEGA has released a brand new beta patch for Shenmue 1 & 2 Remaster. According to the release notes, this fifth beta patch improves the MIDI playback for various instances of background music, improves the controls while playing HangOn and Afterburner II, and fixes various issues with lip syncing.
Source: N4G PC Shenmue 1 & 2 Remaster beta patch 5 available, fixes lip syncing, improves controls and more