Given the amount of influence both ways, I'm surprised you didn't include Norse/Germanic mythology as "near enough" in your question.
Within it, there are two stories of sacrifice that contain several parallels to the Christian story.
The first, and more literal and obvious of the two, is the story of Baldr. While not sacrificed, he was slain and is said to be reborn after Ragnarok. Often being associated with light and purity, he is very often drawn as a Christ parallel.
In fact, Gylfaginning has this to say of Baldr:
The second son of Odin is Baldur, and good things are to be said of him. He is best, and all praise him; he is so fair of feature, and so bright, that light shines from him. A certain herb is so white that it is likened to Baldr's brow; of all grasses it is whitest, and by it thou mayest judge his fairness, both in hair and in body. He is the wisest of the Æsir, and the fairest-spoken and most gracious; and that quality attends him, that none may gainsay his judgments. He dwells in the place called Breidablik, which is in heaven; in that place may nothing unclean be[.]
What little remains about Baldr suggests that the events surrounding his death and rebirth happen in places other than Midgard (presumably in Asgard, though time and Christian influence has changed it to "heaven" in the texts).
The second, as less obvious parallel is Odin's sacrifices for wisdom and the runes. The biggest difference here is that Odin did not sacrifice his life, but other things. His eye to Mimir's well for wisdom, for one. The sacrifice for obtaining the runes is more complex, but still applicable in its parallels, I think:
I know that I hung on a wind-rocked tree,
nine whole nights,
with a spear wounded, and to Odin offered,
myself to myself;
on that tree, of which no one knows
from what root it springs.
Bread no one gave me, nor a horn of drink,
downward I peered,
to runes applied myself, wailing learnt them,
then fell down thence
Both events took place in locations other than Midgard, and the sacrifice on the tree has a number of parallels to Jesus' crucifixion (spear wound in the side, lack of food and water, hanging from a tree or wood).
Whether you want to say that the Germanic mythology influenced the Christian one, or the other way around, it's pretty clear that there is precedent of sacrificial cycles occurring in a non-Earth realm.
But These Were Recorded In The 12th Century
They weren't written down until 12th century, true, but the Germanic tribes were a strong oral culture, not unlike the Jews were before the books of the Bible were written down.
So how would the Jews and the Germanic people interact? Simply put, via the Romans, and through their own trade and travel routes.
The Romans were spread far and wide. The Roman Empire, itself, spread into what is now Israel, Saudi Arabia, and the entire northern coast of Africa. Combine that with the Silk Road trade route, and they were mixing cultural aspects from as far east as China with that of the Gauls from England.
The Romans and Germanics were not strangers, by any stretch, and the Germanic tribes were well-documented by the Romans, including Julius Cesaer and Senator Tacitus. Tacitus even illustrates in Germania that several of the southernmost Germanic tribes were part of the Roman Empire (and the Roman Republic before it), among other details about them. Additionally, the Roman army under Gaius Marius captured some 20,000 Teutons at their final defeat in France in 100BC in the Cimbrian War, many of which went on to fight in the Third Servile War.
The Romans, even long before the Empire, were equal-opportunity slavers, bringing slaves in from all corners of their reach. Furthermore, the Romans intentionally mixed ethnic groups as a means of preventing solidarity, because they were fully aware of both the tensions between the non-Roman tribes and the ramifications of the slaves forming an army (particularly when headed by trained and tested gladiators). Combined with the Jewish Encyclopedia's attestation that the Jews had been in Rome since at least as early as the 100s BCE, it makes at least some contact between the Germanics and the Jews rather likely. Start combining stories of Baldr and Forseti with those of Jesus, and you start seeing both the Earthly Jesus story (Forseti's "12+1" motif) and the Heavenly Jesus sacrifice/resurrection (Baldr's sacrifice/resurrection motif). With the propensity of Earthly sacrificial gods, though (Horus, Mithra, Osiris, etc.), it's easy to see why the Earthly Jesus story won out in the canon.
Likewise, the northern Europeans traveled extensively on their own. Recent findings have shown that they had direct contact with the Arabian nations. This particular contact was a later dating, but says that the Germanic people were no stranger to the Arabians. Interestingly, while the Germanics' hostile movements were more westward, toward France and Spain, the known contacts with Arabian people were largely peaceful -- missions of trade instead of invasion (possibly for metals of various sorts, including silver and iron, due to the relative scarcity of such minerals in the northern parts of Germania).
Other Early Influence
I think most notably, the Canaanites' religion -- specifically Ba'al -- had some of the heaviest influence with regard to a death/resurrection deity. Hell, Ba'al is mentioned in several passages of the Bible, itself, as basically an example of "who not to worship," and the Bible goes to great lengths to make Ba'al out to be supremely evil. This (along with various other knowledge of the fluidity of religion around that time) suggests to me that worship or otherwise acknowledgement of Ba'al may have had more influence than a Greek or Roman counterpart (which, it seems, the Jews actively resisted as they resisted assimilation into the Roman culture in general). The story of Ahab in 1 Kings is a prime example of this issue.
Ba'al is attested to be the son of another deity (usually attested as El, though Dagon is a close contender), though is the principal god of the Canaanites. He basically represented life in pretty much all its aspects -- fertility, rain, the sun, the cycle of the year. He, himself, died and was reborn every year (presumably in the Canaanites' version of heaven or non-earthly plane).
But Christianity Doesn't Have That Kind Of Cyclical Nature
You may be thinking that the cyclical nature rules them out as influences on the Jesus story. I disagree. For one, Jedeo-Christianity does actually have a cyclical nature to it, it just happens that the cycles tend to be quite a bit longer -- in multiples of 7. The most common, of course, is the week, but year-length ones exist, too. Every 7th year is a sabbatical year, every 7th sabbatical year (well, technically, the year after, since that year is the sabbatical, and like the Sabbath day, it's pretty much required to rest, so every 50th year; at least, that's how I understand it, but I'm not a Jewish scholar) is a Jubilee.
The lengths of these cycles seem to hold up with Judeo-Christian lore, as they seem to line up with times of prosperity or distress among the Israelites or prominent Biblical figures, though often on timelines of several centuries (basically, they faced Jehovah's wrath if they missed too many Sabbatical years, or worse, too many Jubilees). In the case of Jeremiah, it was a 70 year punishment after 490 years of the Israelites not obeying the Sabbath years. It was also not uncommon for punishments to be laid out over the course of a generation or more (the Israelites lost in the desert for 40 years, for example).
Likewise, the prophecy of Daniel about the rebuilding of Jerusalem is 1000 years in length, as is the reign of Jesus after the Second Coming and Tribulation period, further lending to very long cycle lengths. In other words, it's not that there's no cycle, it's just that the cycles in Judeo-Christianity are really long, so we only see information about a couple completed regarding Jesus.
Unfortunately, detailed data gets pretty scarce pretty quickly once you start getting into Pre-Roman and Proto-European stuff, though tracing the Proto-Indo-European language tree suggests common ancestry at some point, so it's possible the myths you're looking for also trace back to the Proto- time, forming before the clearer deliniations of peoples. That's beyond the scope of this answer at this point, and would probably require quite a bit deeper digging than I have the resources to do, if there's data on that at all.