This recipe is for you only if you do the refined-sugar thing. The Oreo pudding mix is vegan up until refined sugar. It's made by Jell-O but doesn't contain gelatin.
I am a notorious failure at making pudding. At an attempt to rescue my most recent project, I accidentally made Oreo ice cream. Hope you enjoy :)
Here's what you do: Pretend like you're going to make this into pudding. Follow the directions on the box, using your 2 cups soymilk. It may not thicken at all, like mine. Good.
Now divide up the failed pudding (or successful, if you're lucky) into four little dishes. Put them in the freezer, and stir them up every five minutes.
It takes a while, but it will get to ice cream consistency, I swear. And it tastes delicious :)
I guess you could use an ice cream maker for this, but I don't have one. Works fine this way.