In the final section of this chapter, we introduce some methods that go beyond the simple SF ansatz in an attempt to correct some of its problems, most notably spin contamination. One of these is a spin-complete version of SF-TDDDFT, which minimally augments that method's excitation space in order to obtain a set of determinants from which spin-pure Ŝ2 eigenfunctions can be constructed. This is accomplished in an automated way using a tensor equation-of-motion (TEOM) formalism, as described in Section 3.1. An alternative approach is the "mixed reference spin-flip" (MRSF) procedure developed recently by Filatov, Choi, and co-workers, which is discussed in Section 3.2.