The Giant Inn of course, that was once the Red Lion, but changed now that the giant is famous.
The giant has been here since the Middle Ages and my guess is that it was erected, so to speak, as a cartoon of Oliver Cromwell, who dissolved the Cerne Abbas monastery (along with all the others), which was an important source of income for the village. At that time, Cerne Abbas was famous for its beer and had 14 pubs, despite only having a population of 1500. There are fewer pubs there now. Here are two:
And this is what remains of the monastery.
Door to one of the houses