Intergeneric hybrids are hybrids between members of two different genera.
To some extent, genus definition is subjective/historical, and so this concept is also a bit subjective and variable.
Some examples of intergeneric hybrids among mammals:
Here are some examples:
The cama is a cross between a male camel and a female lama (Camelus dromedarius, Lama glama). It is not known in the wild and has only been produced by artificial insemination. The other combination (male lama, female camel) doesn’t work.
Similarly, the huarizo is a cross between a male llama and a female alpaca. (Llama glama, Vicugna pacos). These can be produced without artificial insemination. It appears these are sterile.
Sheep and goats are in different genera (Ovis aries, Capra hircus) but there have been plenty of cases of cross breeding outside of laboratory conditions. Despite the fact that the sheep and goat have different numbers of chromosomes, the offspring have sometimes been found to be fertile.
Sloth bears and sun bears have also been interbred, as have sloth bears and asiatic black bears, in captivity.
The “beefalo” is a cross between a buffalo and a cow (Bison bison and Bos taurus), and is regularly fertile. Żubroń is a cross between the European bison and the cow. They can be fertile.
The pumapard is a cross between a leopard and a puma (Panthera pardus, Puma concolor). The offspring tend to be small.
The savannah cat has become moderately popular as a pet, and is a cross between a cat and a serval, (Felis catus, Leptailurus serval).
A wholphin believe it or not is a cross between a false killer whale and a bottlenose dolphin ( Tursiops truncatus, Pseudorca crassidens). These can exist in the wild, and the offspring can be fertile.
The common baboon can mate and produce fertile young with the gelada in the wild (Papio hamadryas, Theropithecus gelada ). Here is a paper on a case:
http://link.springer.com/article/10.1023%2FA%3A1026367307470

