Step 1: Understanding the question.
The question asks for identifying a bacterium that naturally resides in the intestines of humans and many animals. This refers to normal gut microbiota, which plays an important role in digestion and vitamin synthesis.
Step 2: Analysis of option (1) Escherichia coli.
Escherichia coli (E. coli) is a Gram-negative bacterium commonly found in the large intestine of humans and animals. Most strains are harmless and form part of the normal intestinal flora. Some strains may be pathogenic, but the majority are beneficial or neutral.
Step 3: Analysis of option (2) Bacillus anthracis.
Bacillus anthracis is a pathogenic bacterium that causes anthrax. It is not a normal inhabitant of the human or animal intestine.
Step 4: Analysis of option (3) Vibrio cholerae.
Vibrio cholerae is a pathogenic bacterium responsible for cholera. It infects the intestine but is not a normal resident organism.
Step 5: Analysis of option (4) Corynebacterium.
Corynebacterium includes species that may be found on skin or mucous membranes, but it is not primarily an intestinal normal flora organism.
Step 6: Final conclusion.
Since Escherichia coli is the normal commensal bacterium of the human and animal intestine, it is the correct answer.
Final Answer:
\[
\boxed{\text{Escherichia coli}}
\]