According to the classification scheme of the generalized random matrix
ensembles, we present various kinds of concrete examples of the generalized
ensemble, and derive their joint density functions in an unified way by one
simple formula which was proved in [2]. Particular cases of these examples
include Gaussian ensemble, chiral ensemble, new transfer matrix ensembles,
circular ensemble, Jacobi ensembles, and so on. The associated integration
formulae are also given, which are just many classical integration formulae or
their variation forms.