Back in the 80s and 90s (I think), the one-time very British (nowadays owned by Unilever) ice-cream maker, Wall’s, marketed a range of ice-cream called “Gino Ginelli”. It was obviously meant to be an Italian-style ice-cream, but to what extent any actual Italians were involved in making it, I have no idea. From googling around, it seems that Wall’s may have licensed the name from another firm, but I can’t find any details. It’s no longer available, at least in this country. I saw a posting somewhere that said someone had seen it in Ibiza(!).
Wall’s used to have (may still have) a factory in Gloucester where I was born and lived till the age of 11, and we always used to buy Wall’s ice-cream - it was very un-Italian in style though, certainly in those days! There were basically two choices (at least from the local shops).
For individuals, you’d buy a rectanguloid block of ice-cream about 4 inches long and 1 inch thick. Then you could either put that between 2 suitably sized thin wafers - if you wanted it like that, you just asked for “a wafer” - that was a grown-up’s ice-cream. But we kids always had “a cornet” which was the identical ice-cream, but in a wafer that was a bit like a modern ice-cream cone, but with a rectanguloid piece attached, to hold the ice cream. (You had to be careful or it would fall out).
Choices were “white” (vanilla) or (if you were very lucky) “strawberry”.
For family consumption, you could buy a “block” which was a much bigger version of the small “wafer” ice-cream, enclosed in a cardboard box. At home, you could cut this into wafer-sized portions, and either hold them in wafers, or put them in a bowl with some fruit or something, or (as a special treat in our house), drop it into a large glass of lemonade, where it would froth up, and probably over - messy, but lovely - we called that “an ice-cream soda”.
There were also choc-ices, but that was almost always only at the pictures (cinema), as were “tubs” of ice-cream, which in those days were cardboard, with wooden (not plastic) spoons - much more ecologically sound, and you could chew the spoon, if you were so inclined (and of course I was ).
It was probably some time in the mid-1960s that soft ice-cream started to appear, e.g. in “Mr Softee” ice-cream vans, and also in some shops. I dread to think what chemicals they put into it in those days to make it soft.
(having typed all that, I see Steven Branley has beaten me to it re: Gino Ginelli, but I’ll let my comments stand. )