Preheat the oven to 350 degrees. Place the noodles in a bowl, cover with hot tap water and soak, flipping once, for 10 minutes; the noodles should pull apart easily. Drain well; toss with the melted butter.
Whisk the eggs, sugar, coconut milk, sour cream, almond extract, cardamom, anise seed and a pinch of salt in a large bowl. Stir in the noodles, raisins and ginger until combined.
Butter an 8-inch square baking dish; spread out the bananas in a layer, then pour the noodle mixture on top. Sprinkle with coconut and almonds. Bake until golden brown and set, about 1 hour 10 minutes. Let cool for at least 1 hour before slicing.