I have even seen approaches where if local altimeter is not available, the ILS or VOR has higher minimums than the GPS approach - if authorised at all!!!
Ok, I've got some out of date plates from my car, but still within 6 months old.
KHDN (Hayden Colorado). Approach type and DH/Minimum
ILS/DME - 6837 MSL
ILS/DME circling - 7640 MSL
LOC - 7640
VOR - 7320
VOR Circling - 7660.
But
GPS-C, 7220 MSL.
The comments on the precision ILS approach say it is not authorised if local altimeter not available. Neither is the LOC or the VOR. The GPS has no such restriction.
The GPS approach has the second lowest minimums, only the straight in ILS/DME allows you to descend lower.
Interesting stuff!