I've tried a fair share of ice cream brands and I'd like to share some of my favorites that I've come across! Btw, this list is not in any particular order
1). Nada Moo
This awesome ice cream is based in Austin and is my personal favorite. It's very creamy and decadent and I love the variety of flavors.
My favorite flavor is the "peach cobbler" (ps there's actual chunks of peaches and cobbler in it!)
2). So-Delicious
This one is a crowd pleaser for sure. My mom and brother (who are pretty picky about ice cream and non-dairy ones at that, love this brand!) This brand carries ice cream based on cashew milk and therefore doesn't have a coconut-y undertone to it like some other vegan ice creams may have
It is also very creamy and smooth
Their favorite flavor is the "salted caramel cluster"
3). Magnum
This is not a particularly "dairy free" brand but I included it anyway because I did try their chocolate vanilla bar and it was so good! If you have access to this, I would definitely recommend trying it (though I do think that it is more easily found in the UK than in the states)