Step 1: Recall the ATP yield of different processes.
\[
\begin{aligned}
\text{Glycolysis} &\rightarrow 2\ \text{ATP}
\text{Fermentation} &\rightarrow 2\ \text{ATP}
\text{Anaerobic respiration} &\rightarrow \text{Less ATP than aerobic respiration}
\text{Aerobic respiration} &\rightarrow 36\text{--}38\ \text{ATP}
\end{aligned}
\]
Step 2: Identify the process producing maximum ATP.
Since aerobic respiration completely oxidizes one glucose molecule in the presence of oxygen, it produces the maximum amount of ATP.
Hence,
\[
\boxed{\text{Aerobic respiration}}
\]
is the correct answer.
Therefore,
\[
\boxed{(C)}
\]
is the correct answer.