What is another name for monkey?

Playtyrrhine = a New World (Central and South American) monkey

Cercopithecoid = an Old World (Africa, Eurasia, and island Southeast Asia) monkey

One of the most distinguishing, external features is that NWMs have a prehensile tail, while their cousins, the OWMs, do not.

Alternatively...

Primate = an all-inclusive term for both strepsirrhines (i.e., lemurs, lorises, and galagos) and haplorhines (i.e., tarsiers, new and old world monkeys, and apes)