I've made them before using a spring form pan. You really just have to remember to line the pan with saran wrap/parchment paper.
Having some sort of cookie crumble in there gives some texture other than ice cream...if not oreos, then some other crunched up safe cookie or graham cracker would work...then just layer it up.
Cookie crumbs on the bottom, layer soften ice cream on, smooth out the top, freezer for a while, can drizzle safe chocolate, caramel, or something else, then top with some more cookie chunks, layer a different kind of ice cream on, keep going until it's as tall as you want it and if using some kind of cookie can decorate the top with cookies standing up on the to make it look fancy. I have also done it with cookies lining around the outside of the pan and then put the ice cream in.
If using cake, then start a thin layer of cake, layer ice cream, topping, next layer of cake, etc.