It's wise to double-check your prejudices from time to time. I did this when I googled "How much have sea levels risen?"
I was rewarded with this link that graphically shows how sea levels have risen over the last 120 years. If you click the link you'll see a curve with the sea level inexorably and relentlessly rising. The article says this:
"From 3,000 years ago to the start of the 19th century sea level was almost constant, rising at 0.1 to 0.2 mm/yr; since 1900 the level has risen at 1 to 3 mm/yr ; since 1992 satellite altimetry from TOPEX/Poseidon indicates a rate of about 3 mm/yr. This change may be the first signs of the effect of global warming on sea level, which is predicted to cause significant rises in sea level over the course of the twenty-first century."
You've perhaps seen the movie "Waterworld" where the entire planet is flooded.
However, when you look at size of the numbers something startling appears: that is not 3 meters/year. It's 3 millimeters/year. By fortuitous coincidence, I have had to make some close measurements that reminded me how small a millimeter actually is. 3 mm is width of a capital letter E on the printed page. During the entire modern era, sea level has risen 7.87 inches.
Mt. Everest is 8,850m (29,035 feet) tall. If present trends continue, it'll be underwater in less than 3 million years (2,952,339 AD)!