I tend tend to keep them to certain genres, but pretty much could use any of them whenever:
Current stock:
Spector Euro 4LX - Does most things, very bright and punchy. Tends to be the primary choice but not if I want something more old school.
Yamaha BB415 - Passive 5 string, good substitute for Fender P/J sounds.
Cort GB95 - Has J/MM pickups, so can mimic Fender/Musicman sounds. Interchanges with the above BB.
Yamaha RBXJM2 - 6 string with MM pickup in the right spot. Used for any B tuned metal or a more convincing Stingray sound.
Fender Precision - Has flats, don't use it much but it was a gift. Tends to be my 'learning a song' bass so I don't faff with the tone, just learn the song.