Concept:
Fermented foods are prepared by microbial action on plant or animal products. Microorganisms convert sugars and other compounds into acids, alcohols or other products.
Step 1: Check statement A.
Sauerkraut is a fermented cabbage product.
\[
A \text{ is correct}
\]
Step 2: Check statement B.
Cucumber fermentation for pickles can involve naturally occurring microorganisms.
\[
B \text{ is correct}
\]
Step 3: Check statement C.
Tofu is made from soybean, not olive.
\[
C \text{ is incorrect}
\]
Step 4: Check statement D.
Miso is a fermented soybean product, not a milk product.
\[
D \text{ is incorrect}
\]
Step 5: Check statement E.
Tempeh is a fermented soybean product.
\[
E \text{ is correct}
\]
Thus, the correct statements are:
\[
A,B,E
\]
\[
\therefore \text{Correct Answer is (A)}
\]