Every movie, even a sequel, requires a story, and when a franchise hinges on one person being kidnapped over and over again, there's not much room for the filmmakers to expand. Neeson, recognizing this, doesn't believe there will be a Taken 4.
Speaking on The Late Show with Stephen Colbert in 2016, Neeson said there's no chance of another Taken film happening, at least not at this stage. "There's only so many times your daughter can be taken," he pointed out. At this point, after busting so many skulls in pursuit of his stolen progeny, he joked that his character would have to ask the kidnappers, "'Please can you take my daughter'?"
The first movie centered on Bryan Mills' 17-year-old daughter, Kim, being kidnapped while vacationing in France. The second installment in the series was a direct result of the first movie, with the families of the kidnappers getting their revenge on Mills by kidnapping his wife, Lenore, and attempting to kidnap his daughter again. Since both Kim and Lenny were already taken, the third movie took a different approach, with Bryan trying to clear his name after his wife's murder.
At this point, what else is there to do?