Are there ILS approaches where the LOC/non-precision procedure isn't authorized?
Yes, there are.
Note: This is as opposed to those ILS approaches listed as
ILS or LOC in the title—such as
KGEG ILS or LOC RWY 3—which do have an authorized LOC approach.
Special Authorization Cat I ILS, and Cat II & III ILS approaches do not have authorized LOC procedures. These are precision only approaches.
See KGEG approaches, for example. Specifically, the
ILS RWY 3 (SA CAT I), and the
ILS RWY 3 (CAT II & III) approaches do not have authorized LOC procedures.
See also this screen cap of the KGEG
ILS RWY 21 (SA CAT I) approach:
Van Nuys has two, ILS Y RWY 16R and ILS Z RWY 26R. Both use the localizer on 111.3 but have different stepdown fixes and different missed approaches. Radar is required for the missed on Z.