Add the frozen strawberries and banana to the blender.
Pour in the coconut milk and add the Greek yogurt.
Add the shredded coconut, honey or maple syrup, and vanilla extract.
Add the ice cubes. Start blending on low speed, then gradually increase to high. Blend for 60–90 seconds, or until completely smooth.
Check the texture and taste. Adjust thickness or sweetness if needed, then pour into glasses and serve immediately.