Believe it or not you do not have to miss the awesome taste of dairy ice cream when you become a vegan. Not only can you find commercial vegan ice creams that are just as tasty as their dairy counterparts, but they also do not carry the deadly chemicals that can be found in the dairy versions, chemicals that are so dangerous that the FDA lists many of them as carcinogens.
On the commercial side of vegan (non-dairy desserts) you have many options. One of my favorites have been the Soy Dream line of ice creams. They have a wide variety of flavors including "Strawberry Swirl," "Vanilla." "Butter Pecan" among others. Another favorite among many has been the Soy Delicious line and to be expected since they have been the pioneers in the non dairy ice cream market. Another great one is the Rice Dream brand, and while they have many different options some of their more popular flavors have been Vanilla and Cherry.
If you are allergic to soy, there are other vegan options such as rice ice cream or coconut milk. Personally these flavors are good but not up to par as the soy versions. You also have almond flavors. The key is to tasting them for yourself. Generally speaking, you will be find something that tastes as good if not better than the original, however one taste does not fit all.