Answer:
This entirely depends upon the species.
Fertile animals of the same species can mate together to produce fertile offspring.
Some animals can reproduce without the need for a second partner (and thus without sexual reproduction). This is called asexual reproduction and produces clones of the parent.
Sexual reproduction produces variation as offspring will have characteristics from both parents.
Animals of different species can sometimes mate to produce sterile offspring if they are closely related such as horses with donkeys and tigers with African lions.
It is important you understand what a species is. It is a common misconception amongst the young to view a group of animals as a single species: e.g. birds. Young children will happily accept ducks, geese and swans as separate from a mass group they know as birds. This doesn't just ignore the thousands of different species of "bird" there are but also misses the fact that there are dozens of species of duck, goose and swan.
Each species can only reproduce with itself.