Without a doubt, American company Tofutti produce THE best non-dairy icecream I have ever tasted.
Then there are the "Cuties". These are vanilla dairy free versions of the 'icecream sandwich". So creamy! There is a good range of flavours of this product but I have only been able to find the vanilla one so far.
There are also dairy free icecream tubs available in various flavours, though again, I have only been able to find a few of varieties.
As for their dairy-free cheese products, I have tried plain "Better than cream cheese" which is a smooth , and nice tasting alternative to the dairy variety. The flavour is subtler and the consistency allows you to use it as a dip. There are a few varieties of it, available, but I prefer the plain one.
The "Sour Supreme" is a dairy free sour cream, which I enjoy having with vegan nachos. The flavour is less sour than the dairy variety, which I prefer.
There are many more products made by this company , but being imported from the USA, their availability here seems to be somewhat limited. So far, I have been able to find these products in various IGA stores, Woolworths, PAWS and Fresh Stop Market (Shop 1 Dog Swamp Shopping Centre, Joondanna).
Their website: Tofutti