BLEND: In a liquid measuring cup, stir together the water and honey. Add the frozen fruit to the blender or food processor and pour the honey mixture on top. Blend on medium for 30 seconds, followed by 30 seconds on high. Scrape down the sides and press the solids to the bottom of the blender and repeat 2 - 3 more times until the mixture is smooth.
STRAIN: Remove the blade from the blender or processor, then pour the mixture into a large, fine sieve. Use a spatula or spoon to press the mixture through the sieve into a freezer-friendly container. Continue to press through until only the seeds remain in the sieve.
FREEZE: Cover the container with a lid or foil so that it is air-tight. Freeze for 3-6 hours until the sorbet is solid. Serve or store in the freezer for up to 2 months.