Light cream is sweet cream with less butterfat than heavy cream.

I think in the UK light cream is called single cream and heavy cream is double or whipping cream.

whip cream, sugar cream and ice-cream of course!

In the UK, whipping cream is just a type of cream sold for whipping. (And actually, double cream works better for whipped cream toppings). Whipped cream is a type of fresh cream, in the sense that double cream, single cream, clotted cream etc... are all types of fresh cream. Whipped cream is not "the same as" fresh cream, it is a member of the "fresh cream" group. If a recipe just says "serve with fresh cream", it's best just to pick a type of cream that suits your needs (i.e pourable or non-pourable).

Because ice-cream is iced cream!

there is no cream in cream crackers