I'm wondering, about what time did the last ice age end? I'm wondering if when it did, it must have caused a lot of flooding throughout the earth.
The last ice age did not end yet. Refer to the
Wikipedia article on "Sea Level" for the information you need, with plenty of graphs.
To do my duty as Linguistics Moderator, I'll note that the definition of an ice age (more scientifically called a "glacial age") is an era in which there are large accumulations of ice that never melt. These include ice caps at the poles, ice sheets such as the one that covers Greenland, and glaciers such as those on the Alps, Himalayas, Rockies, Andes, etc.
Sea level is currently only about 100 meters higher than its lowest point. When all the ice melts it will rise to about half a kilometer above its current level, obliterating Florida and several rather nice islands, shrinking countries like Bangladesh, and submerging many of the world's most important cities, which grew up around seaports. However, this will happen very gradually, giving enough warning that even the most unresponsive governments will have time to react. It will hardly deserve the name "flooding." The impact in any human lifetime will be discernible but not catastrophic.
The "Great Flood" and the "Atlantis" myth common in Mediterranean and Levantine cultures probably refer to a tsunami caused by one of the largest volcano eruptions in recorded history. It shattered the island of Thera/Santorini ca. 1500BCE and destroyed Minoan civilization. The Greek empire, among others, grew to take up the slack.
Maximum sea level has never been reached since our species engineered its way out of the Stone Age. However,
minimum sea level occurred at the peak of the current ice age ca. 60KYA, and this had a profound effect on our destiny.
Just as global warming melts all the icepacks, fills the atmosphere with more water vapor and increases rainfall, global cooling takes the water out of the atmosphere, locks it in icepacks and reduces rainfall. At that time there was a drought in Africa which caused a terrible famine. An adventurous troupe of the San (or "Bushmen") tribe decided to try their luck at leaving Africa in search of better conditions. Remembering that sea level was 300 feet lower than it is today, coastlines were broader, islands were larger, and the straits between them were narrower, it's easy to understand how, within the limits of stone age seafaring technology, they were able to travel to southwestern Asia and continue trekking along the continent's southern coast in search of a better home.
Of course they didn't know about ice ages and glaciers, so they just kept walking and rafting, hoping that eventually they'd find a new home. Weather patterns are always crazy, even during the worst times, and they found a paradise in Australia. DNA shows that these people were the ancestors of the Native Australians.
A few thousand years later, when the weather was not quite so dire, another group of San left Africa, but found the weather and food supply in Asia acceptable, so they settled there. They were the ancestors of the rest of us: all non-African, non-Australian humans.
I'm guessing that this caused a lot of nomadic tribes to have to split up. I would imagine that they would create elaborate myths about this and those myths may have survived somehow. I wonder if there is any relevance to that...
We've only been living outside of Africa for 55,000 years, during which time there has been no truly cataclysmic worldwide flood to inspire legends. They have to be talking about the poor Minoans.
If you're interested in the migration routes of the Stone Age peoples, Go ogle the work of Dr. Cavalli-Sforza. There's even a thirteen-part YouTube video by one of his team members who takes you to some of the important places along our ancestors' journeys. They did exhaustive DNA analysis and have some astoundingly detailed maps of the migrations. They even discovered that a few of the first wave of African migrants didn't make the complete journey to Australia but decided to make a stand in southern Asia. There are villages along the Indian coast whose inhabitants have traces of their genetic markers.