Random Matrix Theory (RMT) has many applications in Physics and other Sciences. The starting point is given by the global symmetries of the underlying Hamiltonian or other relevant operator of the theory to be described. In this talk I will focus on the so-called chiral ensembles and their complex extensions, generalising the Wigner-Dyson classes that were first introduced. The corresponding Gaussian RMT with NxN matrices can be solved exactly using Laguerre Polynomials, both for matrices with real and complex eigenvalues. An example where these find applications are the spectra of Dirac operators in Lattice Gauge Theory.