Oh Christ, I have a whole list of blubbing songs....
Ride like the wind by Christopher Cross. My exbf committed suicide and this was his favourite song. I still think of him whenever I hear it, realise how much this song described his life and weep for such a young life given up 
Ne me quitte pas by Jacques Brel; the sheer desperation and emotion in his voice choke me every time.
A house is not a home by luther Vandross; heard this when exFW had just run off with his secretary and felt the loneliest I had ever felt.
Love of my life by Queen. So sincere.
I know you by heart by Eva Cassidy.
Les aimants de St Jean by Patrick Bruel as it reminds me of a heady, happy and carefree evening being twirled around by an old friend and laughing with my head thrown back - sheer joy and happiness. Which was the moment life seemed better again. And although it should make me smile, the recollection of the emotion I felt at loving life again makes my throat do all sorts of funny things
Billy Joel's lullaby as I have sung it to both my DC since they were born and they sometimes still request a rendition at bedtime eventhough they are now 13 and 10. I know this will be one of their memories of me in years to come...
Oh mio bambino caro by Puccini.
Lost by Anouk
Our house by Crosby, Stills, Nash and Young
The story by Brandi Carlisle
I could go on for hours....