First, In areas where the Glacial of the last ice age existed, those areas were depressed by the weight of the ice over them, such areas are still rounding upward, when sea levels were first measured, it appeared that sea levels were dropping till it was determined that instead the land was raising. Given that such data was first collected in Europe, which in Northern Europe is still rebounding from the last ice age, this error had more effect then if such data had been collected from a wider part of the world.
Satellite measuring of the sea level became possible only in the 1970s, thus real good data as to sea level rise is basically only 30 years old (Roughly 1980-2010 and mostly 1990 till present), thus anyone who claims sea level rise before 1980 has to double check the data to make sure something else is causing the local sea level to go up in relation to whatever is being used to measure the rise. Most specialists have done this and have found most of the world has been stable over the last several centuries. One measure has indicated that it has been a mere measure of less then a couple of inches over the last few centuries, and most of that has to do with the increasing temperature of the water more then loss of fresh water from Glaciers.
The big challenge is the three ground base ice sheets, Greenland (Just under 10% of world wide fresh water), The West Antarctic Ice Sheet (Just above 10% of total fresh water) and the East Antarctic Ice Sheet, about 70% of total Fresh water. Rivers, Lakes, and other glaciers make up the remaining 9 to 10% of all fresh water in the world. Given these numbers the retreat of the various glaciers throughout the world, have had only a marginal affect on world wide sea levels. These three ice sheets are big danger.
Now, you will notice I did NOT mention the Arctic Ocean. The reason for that is that the Arctic Ocean is NOT a Ice Sheet (Which by definition is grounded on land), but ice sheets (Which by definition, float atop of ocean waters). Since Ice Sheets float, when they melt, the ice turns to water, but given the Ice in the Ice Shelf is presently displacing same amount of water that makes up the Ice Shelf, you have no net increase in sea levels. Thus if the Arctic would melt today, sea levels would remain the same.
Now, the concern with the Arctic Ice Shelves, is that once the Ice Shelves are gone, it exposes the Greenland Ice Sheet to warmer water, leading it to melt and since it is grounded ABOVE sea level, any water would flow off Greenland and into the Atlantic rising world wide sea levels 15-20 feet over the time period it would melt (Present Guess about 100 years).
The big fear is the West Antarctic Ice Sheet. It is grounded BELOW sea level, so it would quickly be affected by warmer waters once the surrounding Ice Shelves are gone. Worse it is possible that the West Antarctic Ice Sheet is unstable that it could break up within DAYS (i.e. some Day in March or Early April, when the West Antarctic Ice shelves are at its smallest extent, enough heat gets to the Glaciers to cause them all to brake from their base and float. The results would raise world wide sea level 15-20 feet as the ice Sheets becomes floating Ice Shelves and displace sea water of the same volume as in the new ice Shelves (Ice Sheets, being grounded on land but below sea level, displace minimal amount of sea water given most of their ice is way above sea level, but if it breaks up and starts to float, it will displace enough sea water to raise world wide sea levels 15-20 feet).
Now 70% of world wide fresh water is in the East Antarctic Ice Sheet. Unlike the West Antarctic Ice Sheet, which is grounded below sea level, the East Antarctic Ice Sheet is grounded ABOVE sea level, on what is considered the tallest Continent in the world. Yes, South America has the Andes, but it also has the huge low lands of Brazil and Argentina Asia has the Himalayas, but that is offset by the huge flat lands of most if India, Siberia and the flat lands of the Former Soviet Central Asiatic Republics (Chins is mostly rolling hills, thus mid way between the two extremism).
The East Antarctic Ice Sheet is thus on the tallest overall Continent, but is also entirely within the Antarctic Circle. In some of the Global Warming models, it actually increase in ice content during the early years of Global Warming for the following two reasons" First the East Antarctic Ice Sheet sheds very little ice on its edge compared to the other two Ice Sheets given its location and height AND Second computer models show that as air warms, the warmer air can carry more moisture, the warmer air thus carry more moisture over the East Antarctic Ice Sheet, making it higher in ice content.
These two factors should keep the East Antarctic Ice Sheet more or less intact till about 2050 if not later. Global Warming will sooner or later affect even the East Antarctic Ice Sheet but long after every other glacier and ice sheet is long gone.
in short the Greenland Ice Sheet promises to be the first to melt, part of it is below the arctic Circle so quicker to be affected by Global Warming. The West Antarctic Ice Sheet would be the second affected, but the one that would cause the most damage quickly. 15-20 feet increase in sea level over a 50-100 year period, we can handle, but a 15-20 day increase within a couple of days would shut down world trade and force millions of people world wide out of their homes.
One last comment, just before the last Ice Age started (About 120,000 years ago), something cause world wide sea level to raise 20 feet (We can tell by growth in various reefs at that time period) but within 100 years (Some indication within 80 years) sea levels had dropped 50 feet and the Ice Age was on. The only thing that could have done such a rapid increase would be the West Antarctic Ice Sheet collapsing and by that action released a huge amount of material into the South Pacific and Indian Ocean "Deserts" (Today and for the history we know of these "Deserts" have had no algae do to a lack of iron and various other needed minerals needed for life never reaching those areas). This release of Iron and other minerals turned these Ocean Deserts into super algae colonies, pulling enough CO2 from the atmosphere to cause an Ice Age (Which saw the West Antarctic Ice Sheet to be re-formed and later the other ice sheets, including the North American Ice Sheet that dissolved about 10,000 years ago). This is referred to as the Madhouse Century concept.
More on the Madhouse Century concept:
http://www.imaja.com/as/environment/can/journal/madhousecentury.htmlThe problem is that we have NOT seen any real increase in world wide Sea Levels, but when it hits, it can hit fast and hard. What will the US do if Manhattan island outside of its center middle third and Harlem, is under water? That would be the case if ocean levels raised 15-20 feet.
Here is a world wide Map Program that shows you what is flooded at various increase in sea levels. Please note the measurements is in meters, 15-20 feet is about 6-7 meters, so the 7 meter that is the default is about right for the West Antarctic Ice Sheet collapse.
http://flood.firetree.net/