In this chapter, I will describe more advanced techniques for state space grid analysis that go beyond what we have covered in Chaps. 5 and 6. These techniques are grouped in three main areas. First, there are many applications for which the limitation of a two-dimensional state space is a critical problem. The good news is that there are ways to work around this limitation to conduct analyses on three or more dimensions. Next, the problem of continuous, rather than categorical, state variables is discussed with suggestions of how to work with these data. Finally, I will briefly review a set of analytical techniques that are quite complementary to state space grids. These are not exhaustive lists of possibilities, but they cover the range of extensions of state space grid analyses. As the second decade of state space grid analysis begins, I expect that these are the avenues that will show the most growth.