Here is a list of rail shooters:
Panzer Dragoon (Saturn)
Panzer Dragoon 2 (Saturn)
Panzer Dragoon Orta (Xbox)
Rez (PS2, Dreamcast)
Sin and Punishment (Japanese N64)
These are a little different, but I would still say they are rail shooters:
Temptest 2000 (Saturn, Jaguar, probably elsewhere)
Internal Section (Japanese PSX)
There is also Starfox 2 on the SNES which is only available in pirated form because it was never officially released. While it isn't really a rail shooter (it's more like the free roaming parts of Starfox 64), it is a Starfox game that you might want to try.