Certainly, there are some comparisons, such as the beliefs in heaven and hell, both of which do not show up in the Tanakh. But the ancient Greeks were polytheistic, and no serious student of theology would confuse that with the monotheism of Judaism, Christianity, or Islam.
Actually besides the Harvard Professor I POSTED, all historians who do Biblical work explain the NT is all Greek/Persian theology mixed with Jewish theology.
So you are thinking of classical Greek religion. Hellenism was a late development, around 300 B.C.E. and came to Israel around 100 B.C.E.
here is an overview of the features of Hellenistic religion with comparisons to other religions including Christianity/Judaism. This movement spread all through the Middle East and effected most religions which changed them to the Mystery religions.
Christianity is a combination of Hellenism (pagan) and Judaism
Hellenistic religion
-the seasonal drama was homologized to a
soteriology (salvation concept) concerning the destiny, fortune, and salvation of the individual after death.
-his led to a change from concern for a religion of national prosperity to one for individual
salvation, from focus on a particular
ethnic group to concern for every human. The prophet or
saviour replaced the priest and king as the chief religious figure.
-his process was carried further through the identification of the experiences of the soul that was to be saved with the
vicissitudes of a divine but fallen soul, which had to be redeemed by cultic activity and divine intervention. This view is illustrated in the concept of the paradoxical figure of the saved saviour,
salvator salvandus.
-Other deities, who had previously been associated with national destiny (
e.g., Zeus, Yahweh, and Isis), were raised to the status of
transcendent, supreme
-The temples and cult institutions of the various Hellenistic religions were repositories of the knowledge and techniques necessary for
salvation and were the agents of the public worship of a particular deity. In addition, they served an important sociological role. In the new,
cosmopolitan ideology that followed Alexander’s conquests, the old nationalistic and ethnic boundaries had broken down and the problem of religious and social identity had become
acute.
-Most of these groups had regular meetings for a communal meal that served the dual role of
sacramental participation (referring to the use of material elements believed to convey spiritual benefits among the members and with their deity)
-Hellenistic philosophy (Stoicism,
Cynicism, Neo-Aristotelianism, Neo-Pythagoreanism, and Neoplatonism) provided key formulations for
Jewish,
Christian, and
Muslim philosophy,
theology, and
mysticism through the 18th century
- The basic forms of worship of both the Jewish and Christian
communities were heavily influenced in their formative period by Hellenistic practices, and this remains fundamentally unchanged to the present time. Finally, the central religious literature of both traditions—the Jewish
Talmud (an
authoritative compendium of law, lore, and interpretation), the
New Testament, and the later
patristic literature of the early Church Fathers—are characteristic Hellenistic documents both in form and content.
-Other traditions even more radically reinterpreted the ancient figures. The cosmic or seasonal drama was interiorized to refer to the divine
soul within man that must be liberated.
-Each persisted in its native land with little perceptible change save for its becoming linked to
nationalistic or
messianic movements (centring on a deliverer figure)
-and
apocalyptic traditions (referring to a belief in the dramatic intervention of a god in human and natural events)
- Particularly noticeable was the success of a variety of prophets, magicians, and healers—
e.g., John the Baptist, Jesus,
Simon Magus,
Apollonius of Tyana,
Alexander the Paphlagonian, and the cult of the healer Asclepius—whose preaching corresponded to the activities of various Greek and Roman philosophic missionaries
If you haven't noticed this accounts EXACTLY for all the changes from the OT to the NT minus a few Persian myths. Christianity is also a mystery religion and this can be demonstrated by passages in the gospels using mystery religion terminology.