Steve Mason, Josephus and the New Testament, second edition (Peabody, MA: Hendrickson Publishers, 2003), 293.
I cannot prove beyond doubt that Luke knew the writings of Josephus. If he did not, however, we have a nearly incredible series of coincidences, which require that Luke new something that closely approximated Josephus’s narrative in several distinct ways. This source (or these sources) spoke of: Agrippa’s death after his robes shone; the extramarital affairs of both Felix and Agrippa II; the harshness of the Sadducees toward Christianity; the census under Quirinius as a watershed event in Palestine; Judas the Galilean as an arch rebel at the time of the census; Judah, Theudas, and the unnamed “Egyptian” as three rebels in the Jerusalem area worthy of special mention among a host of others; Theudas and Judas in the same piece of narrative; Judaism as a philosophical system; the Pharisees and Sadducees as philosophical schools; and the Pharisees as the most precise of the schools. We know of no other work that even remotely approximated Josephus’s presentation on such a wide range of issues. I find it easier to believe that Luke knew something of Josephus’s work than that he independently arrived at these points of agreement. Nevertheless, further study may provide alternatives.
The Amateur Exegete 
I think the case for interdependence is strong. The common source hypothesis fails Occam’s razor because both give an almost identical account of a shipwreck in which either Paul or Josephus saved a large number of lives. The idea that both ripped off this story and put another (whether Paul or Josephus) in the hero’s role stretches credulity.
But the same story weighs in favour of Josephus copying Luke since Luke gives the number saved at less than 300. Josephus gives 600. Now if Josephus is the plagiarist he has an obvious motive for doubling the figure, the same motive as for the plagiarism, self aggrandisement. But if Luke stole the story by stealing Josephus glory for Paul why then halve the glory by halving the number saved?
Now against that one might say it would be more likely for Luke to know Josephus if he wrote afterwards. But by the same token it would be easier to get away with plagiarism of an obscure tract like Luke than of a best seller like Josephus. Just my thoughts.
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