Nonreading tasks that share some (but not all) of the task demands of reading have often been used to make inferences about how cognition influences when the eyes move during reading. In this article, we use variants of the E-Z Reader model of eye-movement control in reading to simulate eye-movement behavior in several of these tasks, including z-string reading, target-word search, and visual search of Landolt Cs arranged in both linear and circular arrays. These simulations demonstrate that a single computational framework is sufficient to simulate eye movements in both reading and nonreading tasks but also suggest that there are task-specific differences in both saccadic targeting (i.e., decisions about where to move the eyes) and the coupling between saccadic programming and the movement of attention (i.e., decisions about when to move the eyes). These findings suggest that some aspects of the eye-mind link are flexible and can be configured in a manner that supports efficient task performance. (Contains 5 footnotes, 3 tables, and 15 figures.)