That
work by St. Justin probably wasn't an actual dialogue, but was more likely a scripted fictional dialogue. Other works by Church Fathers having to do with the Jews include:
Tertullian -
An Answer to the JewsSt. Cyprian of Carthage - Three Books of Testimonies Against the Jews (
Book One,
Book Two,
Book Three)
St. Ambrose of Milan -
Letter 77: To HorontianusSt. John Chrysostom -
Eight Homilies Against the JewsThe Dialogue of Simon and Theophilus
Dialogue of Athanasius and Zacchaeus
Dialogue of Timothy and Aquila
(There is a book out with, I believe, these last three)