We prefer Daiya Cheese's Mozza Shreds for dairy - free cheese, but feel free to browse this list of Vegan Cheese Substitutes to find one that's available in your area.
On pizza, we use Daiya shreds, but I've noticed many long - time vegans don't care for Daiyacheese, so if your palate has moved beyond Daiya, you can try avocado on pizza which I prefer now to vegan shreds.