There are, of course, a few coconut milk yogurts on the scene, but they are way too rich for my palate. I like coconut milk in curries, but that's because it tempers the spicy curry flavor. Otherwise, my palate leans towards salty foods over rich flavors any day.
I recently came across the brand-new almond-milk yogurt made by Amande (the French word for "almond"). [UPDATE 5/27/15: Their website says they are not currently producing the yogurt, but will be producing it again soon!]
It is very rich, just like the coconut milk yogurts, so my first few bites were enough to sustain me. I've found I most enjoy it with fresh fruit and a dob of homemade peanut butter on top.
I like that, not only is it made from something other than soy, but it is fruit juice-sweetened, as well.