The sentence that requires semicolons instead of commas is:
A well-balanced diet includes root vegetables, such as carrots, dark red fruits, such as strawberries, and whole grains, such as brown rice.
This is because the items in the list are complex and contain internal commas. Using semicolons helps to clearly separate the different categories of food. The revised sentence would look like this:
A well-balanced diet includes root vegetables; such as carrots; dark red fruits; such as strawberries; and whole grains; such as brown rice.