Hfrhyu

I realise that this question has been asked before link to previous question; however, I can't get the code to work. It runs, but the value of the raster isn't added to the table it just prints the point attributes

var yearly = ee.ImageCollection('JRC/GSW1_0/YearlyHistory');

Map.addLayer(yearly, , 'yearly', false); 

var fg_points = ee.FeatureCollection('ft:1quTYHcLHQNy1yrssUPaubflVBEkGGMoPFLdbc_-J')

// Empty Collection to fill
var ft = ee.FeatureCollection(ee.List([]))

var fill = function(img, ini) 
 // type cast
 var inift = ee.FeatureCollection(ini)

 // gets the values for the points in the current img
 var ft2 = img.reduceRegions(fg_points, ee.Reducer.first(),30) 
 // gets the date of the img
 var date = img.date().format()

 // writes the date in each feature
 var ft3 = ft2.map(function(f)return f.set("date", date))

 // merges the FeatureCollections
 return inift.merge(ft3)


// Iterates over the ImageCollection
var newft = ee.FeatureCollection(yearly.iterate(fill, ft));

// Export
Export.table.toDrive(newft,
"export_Points",
"export_Points",
"export_Points"); 

I have no access to your fusion table, so I made up one to make the answer.

First approach: 2D table

var yearly = ee.ImageCollection('JRC/GSW1_0/YearlyHistory');
// function to map over the FeatureCollection
var mapfunc = function(feat) 
 // get feature geometry
 var geom = feat.geometry()
 // function to iterate over the yearly ImageCollection
 // the initial object for the iteration is the feature
 var addProp = function(img, f) 
 // cast Feature
 var newf = ee.Feature(f)
 // get date as string
 var date = img.date().format()
 // extract the value (first) of 'waterClass' in the feature
 var value = img.reduceRegion(ee.Reducer.first(), geom, 30).get('waterClass')
 // if the value is not null, set the values as a property of the feature. The name of the property will be the date
 return ee.Feature(ee.Algorithms.If(value,
 newf.set(date, ee.String(value)),
 newf.set(date, ee.String('No data'))))
 
 var newfeat = ee.Feature(yearly.iterate(addProp, feat))
 return newfeat
;

var newft = fg_points.map(mapfunc);

// Export
Export.table.toDrive(newft,
"export_Points",
"export_Points",
"export_Points");

Second approach: 1D table

var yearly = ee.ImageCollection('JRC/GSW1_0/YearlyHistory');
// function to map over the FeatureCollection
var mapfunc = function(feat) 
 // get feature id
 var id = ee.String(feat.id())
 // get feature geometry
 var geom = feat.geometry()
 // make an empty list to store the features
 var newfc = ee.List([])
 // function to iterate over the ImageCollection
 var addProp = function(img, fc) 
 // the initial value is the empty list
 fc = ee.List(fc)
 // get the date as string
 var date = img.date().format()
 // extract the value of 'waterClass'
 var value = img.reduceRegion(ee.Reducer.first(), geom, 30).get('waterClass')
 // If the value is null then store it as 'No data'
 var val = ee.String(ee.Algorithms.If(value, ee.String(value), ee.String('No data')))
 // make the name of the feature (feat_id-date)
 var featname = ee.String("feat_").cat(id).cat(ee.String("-")).cat(date)
 // make the Feature
 var newfeat = ee.Feature(geom, name:featname,
 value:val)
 // add the value to the list
 return fc.add(newfeat)
 
 var newfeat = ee.FeatureCollection(ee.List(yearly.iterate(addProp, newfc)))
 return newfeat
;

var newft = fg_points.map(mapfunc).flatten();

Export.table.toDrive(newft,
"export_Points",
"export_Points",
"export_Points");

If features in your FeatureCollection have a name property (or something that identifies each feat) you can change in the second approach:

var id = ee.String(feat.id())

for

var id = ee.String(feat.get('name'))