the rominator ii by @bigmessowires is also 32-bit clean, as it was designed originally with the iici and iisi in mind, but will fit and work in a iix, iicx, and SE/30
that sounds like something is broken with the system. Try booting from a System Tools disk and see if the behavior persists in the System Tools disk. If it doesn't persist, try running Disk First Aid on the volume you normally use to boot