In a medium saucepan, stir together milk, sugar, and vanilla over medium heat. Continue to stir until the milk comes to a simmer and the sugar dissolves. Reduce heat to low and cover.
In a large pan, add the butter over medium heat. Once melted, stir in the rice. Continue to stir until coated in butter and heated, about 2 minutes. Add the zest and orange juice and stir for another 2 minutes.
While stirring constantly, add the heated milk 1/2 cup at a time. Stir until the 1/2 cup of milk is absorbed before adding the next 1/2 cup, 3-5 minutes each. Repeat until all the milk is absorbed. Remove from heat and stir in the coconut milk. Let sit for 5 minutes. Transfer to serving bowls and top with strawberry slices. Serve immediately.