Homo religiosus refers to a religious person within a given (religious) community.
Homo Ludens: A Study of the Play-Element in Culture is a Dutch book published in 1938 by the cultural theorist Johan Huizinga. It discusses the importance of the play element of culture and society.
Homo Symbolicus - The dawn of language, imagination and spirituality is a book that focuses on the findings of biologists, philosophers, neuro-scientists, astronomers and others in an attempt to call into question the conception of human nature and behaviour of animals.
Homo Faber (Latin for "Man the Maker") is the concept that human beings are able to control their fate and their environment as a result of the use of tools.
Homo Sacer is the figure of Roman law: a person who is banned, may be killed by anybody, but may not be sacrificed in a religious ritual.
Homo economicus is simply another term for "economic man".
Using rational assessments, Homo economicus attempts to maximize utility as a consumer and economic profit is a producer (ideal economist).
Homo narrans (storytelling human) refers to a name given to somebody who, I believe, has a strong imaginative prowess to tell stories effectively.