Preheat oven 375 degrees. Line a 9x5 loaf pan with parchment paper, spray or brush with cooking oil and set aside.
In a medium bowl, mix almond milk, coconut oil, ground flaxseeds, and vanilla. Set aside.
Add gluten-free all-purpose flour, cane sugar, baking powder, salt, and stir into the almond milk mixture until fully incorporated.
Fold in the mashed bananas and chopped peaches. Scoop the batter into the prepared baking pan.
Bake bread for 90 minutes or until a toothpick inserted into the center comes out clean. Let the bread sit for 5 minutes.
Transfer the bread holding the parchment onto a wire rack and allow to completely cool.