Step 1: Recall the commonly used industrial bioreactors.
Among industrial fermenters, the stirred-tank bioreactor is the most widely used because it provides efficient mixing, aeration and temperature control.
Step 2: Identify the appropriate bioreactor.
For large-scale production of recombinant proteins,
\[
\boxed{\text{Stirred-tank bioreactor}}
\]
is preferred due to its excellent oxygen transfer and ease of process control.
Therefore,
\[
\boxed{(B)}
\]
is the correct answer.