The term 'Man or Mouse' is a phrase used to describe someone's courage or lack thereof. It is often used to challenge someone to prove their bravery by taking a risk or facing a difficult situation. The two crossword solutions for this term are 'MAMMAL' (6 letters) and 'CRITTER' (7 letters). MAMMAL is a scientific classification of animals that includes humans, and CRITTER is a colloquial term for any small creature, such as a mouse. Therefore, the two crossword solutions for the term 'Man or Mouse' are MAMMAL and CRITTER, which together represent the idea of humans and small creatures being challenged to prove their courage.