Apollinarii et al.

Apollinarius, father and son, were both trained sophists and grammarians who lived during the reign of Emperor Julian* (361-363AD), who had proclaimed that Christians had no need to read the works of the ancient pagans. [Apollinarius, father, was a presbyter all his life; Apollinarius, son, became a bishop.] Julian further decreed that Christmas be excluded from the schools. The Apollinarii responded by "molding" Scriptural material into forms which "illustrated the whole varied art of Greek composition." They wrote tragedies in imitation of Euripides and comedies in the style of Menander. All of their works were declared heretical, sought out and destroyed. The only surviving example from this period is the O Christos Paschon which had been variously attributed to Gregory Nazienzen and Apollonarius. It is "esteemed psychologically as a parody--or more accurately a cento--on Aeschylus, Euripides, Lycophron, and others; still it has a defect, from the religious point of view, of representing the Virgin more like Hecuba mourning for her children than like the mother of Jesus lamenting, not without hope, at the foot of the cross."
There is a 6th Century Christus patiens which is a rewrite of Euripides' Bacchae in which Agave's speech over the head of Pentheus is given to Mary. The lament at the cross became a common feature of German Passion plays known as Marienklage. Thus the influence of the Greek on the German (at least) seems clear.

Despite the fate of the Apollinarii, they had their imitators, most significant of which being Synesius, bishop of Ptolemais. The hymns he wrote (which have survived) are of such high quality, it's a shame his plays are lost. Nestorius may also have written "tragedies."

* Julian, "The Apostate", was a pagan who espoused "Hellenism" and urged that his pagan priests imitate the hospitality, sobriety, and philanthropy of the Christians. He nonetheless revoked the special privileges of Christian clergy, though tolerance was continued. He reigned for only two years, beginning with the death of Constantius II in 361 till his death in 363. (He was the nephew of Constantine I.)