Was there a worldwide cataclysmic occurrence like evolutionists say?
Of course there was, but evolutionists are wrong (again) about how it happened. It wasn't a cataclysmic ice age due to the earth getting too far away from the sun. IT WAS NOAH'S FLOOD! The flood best explains things like fossils and underground oil which require quick, high pressure in order to form.
II Peter 3:5: on the evolutionist:"For this they willingly are ignorant of,"
II Peter 3:5-6: What are they willingly ignorant of?
That the old world and our current world were divided by Noah's flood." that by the word of God the heavens were of old, and the earth standing out of the water and in the water: whereby THE WORLD THAT THEN WAS, being overflowed with water, PERISHED:"
II Peter 3:7: What about the world we have now? Will it be destroyed too?
Yes it will, but not by a worldwide flood. Next time, by fire to be completely destroyed."But the heavens and the earth, which are now, by the same word are kept in store, reserved unto fire against the day of judgment and perdition of ungodly men." - 2 Peter 3:5
Are you saying there was an "old world" and a "new world"?
The Bible says so. The evolutionist incorrectly calls the old world, "prehistoric" when it should be called something like, "pre-flood" or "old world".  The Bible clearly distinguishes between the old time and the time in which we now live:"Your fathers dwelt on the other side of the flood in OLD TIME" -Joshua 24:2
"[God] spared not the OLD WORLD, but saved Noah the eighth person, a preacher of righteousness, bringing in the flood upon the world of the ungodly;" -2 Peter 2:5
"I took your father Abraham from the other side of the flood" -Joshua 24:3
"put away the gods which your fathers served on the other side of the flood, and in Egypt; and serve ye the LORD." -Joshua 24:14
"And if it seem evil unto you to serve the LORD, choose you this day whom ye will serve; whether the gods which your fathers served that were on the other side of the flood" -Joshua 24:15
"Hast thou marked the old way which wicked men have trodden? Which were cut down out of time, whose foundation was overflown with a flood: Which said unto God, Depart from us: and what can the Almighty do for them?" -Job 22:15-17
What about the giant animals and bones we find in the archaeological record?
The Bible says that there were giants in the earth in those days.There were giants in the earth in those days. Genesis 6:4
Well, what about the fact that the fossils were made suddenly?
The flood was sudden."For as in the days that were before the flood they were eating and drinking, marrying and giving in marriage, until the day that Noe entered into the ark, And knew not until the flood came, and took them all away." Matthew 24:38-39
What about enough pressure to fossilize?
The windows of heaven opened and there was a continual down pouring forty days. The flood was so great it covered EVERY mountain!In the six hundredth year of Noah's life, in the second month, the seventeenth day of the month, the same day were all the fountains of the great deep broken up, and the windows of heaven were opened. And the rain was upon the earth forty days and forty nights. Genesis 7:11-12
 Prehistoric is an inaccurate term because we have the historical/genealogical record from the very first man Adam up to the Son of God, Jesus Christ (see the gospel of St. Luke).