  We present high-order pertubative expansions of multi-parameter Phi^4 quantum
field theories with an N-component fundamental field, containing up to
4th-order polynomials of the field. Multi-parameter Phi^4 theories generalize
the simplest O(N)-symmetric Phi^4 theories, and describe more complicated
symmetry breaking patterns. These notes collect several high-order perturbative
series of physically interesting multi-parameter Phi^4 theories, to five or six
loops. We consider the O(M)XO(N)-symmetric Phi^4 model, the so-called MN model,
and a spin-density-wave Phi^4 model containing five quartic terms.
