After the TV series A Woman Called Fujiko Mine, there were three hour-long videos that were positioned as part of the same series. The first two were sequels only in the sense that they also had violence and nudity, but they lacked everything that made the Fujiko Mine series so interesting.
Fujiko's Lie is closer to that original series. The focus is back on Fujiko, who is sexy and complex and awful and sympathetic. And the story is more compelling and with more genuine emotion than the two before.
It's as though the people who made these "sequels" made two before watching the Fujiko Mine series and then were like, oh, we got this totally wrong, let's do an actual sequel.