While walking through the forest you hear a twig crack. Did the sound occur when your foot fell, or just before? If the sound occurred just before you stepped, you had better start running because there are cougars in these parts. An organism's survival critically depends on correctly judging the order of motor action and sensory input. Given the problem of changing sensory latencies (e.g. visual processing slows by ~60ms in low light, somatosensory signals become more delayed as limbs grow, etc), an organism needs a plastic mechanism for temporally aligning its actions and perceptions.  That is, cross-modal timing must constantly be calibrated in order to reliably report when events sensed by the different modalities occurred.  We present a series of new experiments that reveal the existence of neural mechanisms by which animals can use self-generated actions to calibrate the timing between signals from different modalities.  By manipulating the timing of events in the world, we demonstrate a set of novel temporal illusions in which perceived order of action and event are reversed, and related illusions in which subjective time can speed up or slow down.