Historically, the study of multiple goals has focused on the dynamics between two goals as the prototypical example of multiple goals. This focus on dyadic relations means that many issues central to the psychology of more than two goals are still unexplored. We argue that a deeper understanding of multiple goal issues involves moving beyond two goals. Doing so not only reveals new insights about goal relations (e.g., how one dyadic relation affects another), but also introduces goal structure (how goals and goal relations are positioned relative to each other) as a variable in its own right worthy of study. In our review, we discuss current knowledge gaps, review methodologies both in terms of existing techniques and novel techniques we propose, and highlight new directions from moving beyond two goals—what new questions emerge and what dynamics, including intersectional issues (e.g., between goal properties and goal structure), become possible to explore.