
1 Corinthians 15:3-4 "For I delivered to you as of first importance what I also received, that Christ died for our sins according to the Scriptures, 4 and that He was buried, and that He was raised on the third day according to the Scriptures"
Though many of the finer points of Hyper Preterist (HyP) error can be displayed in detail, doing so can often be hard to understand for those unstudied in biblical theology.
As with currency, the best way to spot the counterfeit is to know the genuine article very well. And so, perhaps the easiest way to show just how different HyP error is from the entire scope of historical Christianity is to point out the view's vastly different storyline. Throughout Christian history, the focal point for the total revelation of New Covenant redemption has always been the cross of Jesus Christ. This is the genuine article.
Most Christians are probably aware that the removal of separation between man and God is a gift revealed in its fullness by Christ's sacrificial death on the cross. These same people may be surprised to hear that, according to Hyper Preterism, the cross of Jesus Christ was insufficient for this purpose, and needed to be augmented by the fall of the Jewish temple 40 years later. So far as I know, every outlet of HyP doctrine endorses the view that the the fall of Jerusalem in AD70 was the "consummation of the ages" event that removed the separation between man and God.
Not until forty years following the cross, it is taught, was the New Covenant finally established in its fullness, and the separation between man and God removed. This is the counterfeit.

Historical Israel's Prophecy/Fulfillment Model Seen in the "Land Promises"
Almost everyone interested in eschatology is familiar with the relationship between prophecy and fulfillment. Clearly, there is a natural association between a prediction and its accomplishment.
No matter the context, seeing predictions come true can be very exciting. For instance, baseball player Babe Ruth is famous for having pointing his bat over the outfield fence prior to a pitch, and then clouting a home run to the exact location of his gesture.
Some prophecies are not fulfilled nearly so soon after their original declaration. However, when they are finally realized, the one who foretold its accomplishment looks even more impressive, for having been correct so much earlier. For instance, Albert Einstein's prediction of "frame dragging" (which assumed that space/time is pulled out of shape by large rotating objects) took 80 years to be confirmed. Scientists were thrilled to have been able to confirm Einstein's genius (and the fact that neither space nor time are fixed).
Biblical prophecies about Jesus, as well as those uttered by Him, are given much attention in an attempt to prove -- or disprove -- that the Bible and the Lord are superhuman and Divine.
Sometimes, however, in an attempt to "confirm" a prophecy, a rush to judgment is made, whereby a mistake brings disrepute upon the supposed author. This happens often regarding supposed prophecies about "the end of the world." For almost 2,000 years, futurist Christians have predicted the end of the world in their near futures, only to have their expectations crushed when the earth did not blow up on cue. Repeated failures have brought an odium of shame to the Bible and the Lord, even though the fault was entirely with those who mistook the prophecies for something they were not.
With Hyper Preterism (HyP), the miscues usually accrue in the other direction -- declaring something as being completed when in fact it is not. However, in some cases (such as with Jesus' "it is finished" declaration on the cross), things which are accomplished by Jesus Crhsit are said to be needing augmentation by the fall of a building in AD70.

Eschatology is a theological term used to describe the study of consummation. Others refer to this area of study as being about "final" or "last things." Two primary Greek root words used in reference to eschatology are eschaton ("last" - Strong's 2078) and telos ("end" / "ending" - Strong's 5056).
Some assume that "the end" that is the focus of eschatology is the end of the world. Hyper Preterists assume that "the end" that is the focus of eschatology is the end of the Mosaic sacrificial system in the year 70. However, recognizing the consummation motif utilized by these words (as well as by sunteleia and others), we can see that these references do not look forward to the chronological end, but look back to the cross as the accomplishment.