Use blender to puree peaches, tangerine peel and 1/4 cup of simple syrup until very smooth. Strain through a mesh strainer into a medium bowl, cover with plastic wrap, and refrigerate.
Clean out blender, next puree strawberries and 1/4 cup of simple syrup until very smooth. Strain through a mesh strainer into a medium bowl, cover with plastic wrap, and refrigerate.
Clean out blender, next puree passion fruit and 1/4 cup of simple syrup until very smooth. Strain through a mesh strainer into a medium bowl, cover with plastic wrap, and refrigerate.
Serve all purees separately in a glass pitcher or bottle, alongside chilled champagne. Encourage guests to make the bellini however they'd like and garnish as desired.