Nanometer-thin rare-earth iron garnet films with perpendicular magnetic anisotropy are among the most promising materials for fast and low-energy spintronics applications. Here, the authors demonstrate ultrafast control of intrinsically stabilized submicrometer bubble domains in these materials. By employing powerful x-ray imaging techniques both in transmission and with surface sensitivity, and by combining this with nanosecond electrical pulses and femtosecond laser excitation, they deterministically create, and image, these bubble states $i\phantom{\rule{0}{0ex}}n$ $s\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}u$. The topology, the chirality, and the switching phase diagram of these twisted spin structures are all resolved by direct imaging.