It depends on the type of finch. The two most common named in your original post are the easiest to care for, but Zebras do not always mix well with other species. My co-worker has a society finch and a canary that re wonderful cagemates. They love each other, and the canary still sings!

When you start getting into some of the more unusual finches the care can be more specific. Gouldian finches, for example, are much more finicky about their general environment, and not nearly as hardy as a society or zebra finch. However, if you can giv ethem the environment they need....WOW!