The major problem with a 1m sea level rise isn't that land which is currently 1m above sea level becomes permanently flooded. The major problem is that land which is 2m or 3m or 4m above sea level becomes flooded way more often.
Local sea levels vary with winds, tides, and perhaps more importantly storms. A smallish rise in sea level might mean that catastrophic storm surge goes from a 500-year event to a 10-year event (numbers pulled out of my nether regions, just meant to illustrate the idea).
For example, much of the damage from Hurricane Sandy was caused by its huge 13ft storm surge. If sea level rises by 1m, then a storm with only 10ft storm surge will match it, which means damage on that level will happen way more frequently, and a repeat of Sandy would be vastly more damaging.
I think what a map like this needs is a setting which shows where the (for example) 100-year flood level is now, and where it moves with the given sea level rise. This is way more complicated, of course, but would do a much better job of showing the real problems.
https://en.wikipedia.org/wiki/Tidal_range
I happen to have visited both extremes (Caribbeans and the Bay of Fundy).
Description: http://blog.firetree.net/2006/05/18/more-about-flood-maps/
(You can get current and historical sea height satellite data from http://sealevel.colorado.edu/)
If you assume the rate of melting is roughly proportional to the temperature, then we are in for an increase in rates.
But there are other things. Nonlinear ice effects - that are not very well included in IPCC projections, could cause a lot more sea level rise sooner. They are hard to predict.
http://phys.org/news/2015-09-eyes-oceansjames-hansen-sea.htm...
It amazed me just how linear historical sea levels have been. Take a look at measured New York sea levels, which have been kept since before the Civil War.
http://tidesandcurrents.noaa.gov/sltrends/sltrends_station.s...
For fun, you can get sea level rise satellite data for the past 20+ years from http://sealevel.colorado.edu and run your own math. If you just naively run forward the observed rate over the last 22 years, you get 1 meter of rise in 300 years.
You can also see historical tide data for cities here http://tidesandcurrents.noaa.gov/sltrends/sltrends_station.s...
It's important to know that tide data combines sea level information with information on how much the city is sinking. A bedrock city like NYC will give you better data on sea level rise than a city built on mud, like Venice, which is going into the water even if global sea levels were falling instead of rising.
Places like Florida are going to be severely hit by rising sea levels because so much of the land is porous. You can't build a dam to stop the sea if it seeps in from underground.
