Does Cappuccino Need To Be Capitalized?

No, “cappuccino” does not need to be capitalized. It is a type of coffee beverage and is not a proper noun, so it should be written in lowercase

Does French Vanilla Cappuccino Need To Be Capitalized?

No, “French vanilla cappuccino” does not need to be capitalized.

“French vanilla” is a flavor and “cappuccino” is a type of coffee beverage, and neither of these words are proper nouns, so they should be written in lowercase.