MAJOR MOONS note, I just threw in the inner most irregular moon of Juypiter, and Pheobe, is a large outer moon of Saturn.
Moons in odd orbits
Earth: Luna
Mars: Phobos, Diemos
Jupiter: Metis, Adrstea, Amalthea, Thebe, Io, Europa, Ganymede, Callisto, Themisto
Saturn: Pan, Daphnis, Atlas, Prometheus, Pandora, Epimetheus, Janus, Aegeon, Mimas, Methone, Anthe, Pallene, Enceladus, Tethys, Telesto, Calypso, Dione, Helene, Polydueces, Rhea, Titan, Hyperion, Iapetus, Phoebe
Uranus: to be added later
Neptune (ALL): Naiad, Thallassa, Despina, Galatea, Larrissa, Proteus, Triton, Neried, Halimede, Laomedia, Sao, Psamathe, Neso