Combine coconut milk and sugar in a medium sized saucepan over medium heat. Do not cover but stir until sugar dissolves and coconut milk comes to a boil.
Removed from heat. Add vanilla and bananas. Using an immersion blender, puree bananas until smooth.
Blend in cream. Cover and refrigerate for at least 2 hours.
Pour chilled mixture into ice cream maker and churn until desired consistency, about 15 to 20 minutes.
If you prefer a firmer consistency, transfer ice cream to a container and place in freezer for a couple of hours. Serve with desired toppings.
Notes
If you do not have an immersion blender, pour coconut mixture and bananas into a blender and blend till smooth.