The term 'mythical forest creature' can be summarized by two crossword solutions: SATYR and PAN. Satyrs are mythological creatures with the upper body of a human and the lower body of a goat, often associated with Dionysus, the Greek god of wine and fertility. PAN is a Greek god of nature, shepherds, and flocks, depicted as having the horns, legs, and tail of a goat. Both Satyrs and PAN are often found in forests in classical mythology.