Felinoid

The term felinoid is descriptive of a species that evolved from feline origins, and retain cat-like physical traits as opposed to primates, who followed a primate evolutionary pattern, or insectoids, who are descended from insects.

There are three known species that are felinoids: Caitians, (TAS) Kzinti, and Vedalans. 

Apocrypha
The Starfleet Battles game universe includes an additional race of felinoids known as the "Lyrans" ,but they are also represented as being distantly related to the Kzinti as well.