My memories at the tail end of the 50s would be of old fashioned steamed puddings, such as jam and syrup or homemade apple (with cloves) even better apple and blackberry pies, home made jam tarts all wonderful, but they were made by either my mother or grandmother. Sometimes really nice stewed fruit such as plums or apples and rhubarb, from the garden with custard or bananas with custard! Even my mother's rice puddings were lovely, laced with plenty of nutmeg. Also memories of going to the corner shop for a brick of ice cream wrapped in newspaper a very, very soft once we got it home. I don't know anyone who had a freezer then.
Then there were the stuff of nightmares, school puddings
which to this day leaves me with a loathing for white lumpy matter, rice pudding which had clusters the size of planets embedded therein, some gloopy stuff that looked like tadpoles and to the taste every bit as bad as it was to the vision, vile shocking pink blancmange, that had lumps in it too. There was an occasional sweet treat accompanied by some sort of fake cream, commonly known as "shaving cream" and a relief to have that instead of the lumpy yellow stuff that passed for custard, the shaving cream was quite nice with a lemon curd sponge one of the better efforts.