At last count around the end of last year, the following is the list of planetary satellites, and does not include 2 or 3 additional, unnamed satellites orbiting within the rings of Saturn which were discovered in 1995:
Earth 1 Moon
Mars 1 Phobos
2 Deimos
Jupiter 1 Io
2 Europa
3 Ganymede
4 Callisto
5 Adrastea
6 Metis
7 Amalthea
8 Leda
9 Himalia
10 Lysithea
11 Elara
12 Ananke
13 Carme
14 Pasiphae
15 Sinope
Saturn 1 Atlas
2 Prometheus
3 Pandora
4 Epimetheus
5 Janus
6 Mimas
7 Enceladus
8 Tethys
9 Telesto
10 Calypso
11 Dione
12 Helene
13 Rhea
14 Titan
15 Hyperion
16 Iapetus
17 Phoebe
Uranus 1 Cordelia
2 Ophelia
3 Bianca
4 Cressida
5 Desdemona
6 Juliet
7 Portia
8 Rosalind
9 Belinda
10 Puck
11 Miranda
12 Ariel
13 Umbriel
14 Titania
15 Oberon
Neptune 1 Triton
2 Nereid
3 Naiad
4 Thalassa
5 Despina
6 Galatea
7 Larissa
8 Proteus
Pluto 1 Charon