I haven't seen either the Doctor Who episode or the FBaWtFT movie. From what you say, and depending on which elements you choose, there are similarities to every monster movie ever made. Giant creature or other monster, captured, escapes, causes havoc - pretty much all of Hammer Films and their competitors and predecessors. If you allow the creation or prior existence of the monster, it goes back to Frankenstein and King Kong. Before that, Pygmalion, and with a few stretches, the rest of the ancient myths.
An entertaining story in a well-done remake can give us Forbidden Planet (aka The Tempest in outer space).
An entertaining story in a well-done remake can give us Forbidden Planet (aka The Tempest in outer space).