How many examples do you want?
If you are now talking about Genesis as a whole. Creationists claim that the fossil record is thin, yet there are far too many fossils in the fossil record for them possibly to all have been alive at the time of the flood. The earth would have been many feet deep in writhing flesh and plantlife.
We know what cataclysmic floods look like. The geological column doesn't look like that. Angular unconformities and disconformities make no sense in flood geology, and perfect sense in conventional geology. Oil companies follow the money; curiously for those who support a young earth oil companies use conventional geology. You can be quite certain that if flood geologists could find minerals that oil companies wouldn't be hidebound by conventional science.
The Freeper Coyoteman points out that he has excavated sites that show continuous human occupation back to well before the date that the Bible would indicate for a global flood. He dates the sites using several cross-correlating techniques.
Radiometric evidence confirms the dates that biologists and geologists had suggested for the age of the earth are accurate, indeed Darwin first suggested that life on earth was at least 500 million years old by observing evolutionary rates and extrapolating backwards. Given the data he had this turned out to be a remarkably good estimate that squares well with modern beliefs. Physicists at the time poured scorn on suggestions of such age, but they turned out to be wrong because they didn't know about the heating effect of radioactivity in the earth's core.
The supernova SN1987A has been shown to be around 170,000 light years away using geometric techniques. That means that the light from it started its journey 170,000 years ago, or perhaps God created light depicting an incident that never occurred 6000 years ago. We can see in that event that lightspeed hasn't changed in the last 170,000 years, and that atomic decay rates (the foundation of radiometric dating) haven't changed in the last 170,000 years.
Modern genetic diversity of the human race is far to great for us all to descend from 3 women and 3 men around 4500 years ago. There are just too many alleles for that to be possible. The situation with many other species is even worse, particularly as they are supposed to stem from a single pair in most cases.
Do you want any more?
Even more telling is the continuity of mtDNA in the western US. There is one haplotype which spans 10,000 years, showing migration from southern Alaska to South America and a few other places in the interior. Other haplogroups also span this time period.
I have one from my own research! Note, this is not from some website, quotemined at random. This is from my own research. I have yet to see the creationist websites even begin to address this issue. How would you explain it?
How would you explain a continuity in mtDNA across the time posited for the global flood (2300 BC; see below)?
There should have been a discontinuity at that point, with early populations wiped out and replaced by Noah's line of DNA.
There is absolutely no evidence that this happened. Native American haplogroups continued along just fine, before 2300 BC and after 2300 BC.
The date of the global flood:
2252 BC -- layevangelism.com
2304 BC -- Answers in Genesis (+/- 11 years).
2350 BC -- Morris, H. Biblical Creationism. Grand Rapids, MI: Baker Books, 1993.