European operator, on our boeing fleet we can fly all non precision approaches including LOC, VOR, NDB out of the database and with the exception of the LOC approach raw data monitoring is recommendet, but not required. However the relevant navaid has to be operational for all approaches. For a LOC approach the localizer has to be used as guidance and is therefore monitored, it is displayed as lateral deviation on the PFD and ND (approach), the vertical deviation scale is a computed glide path.
On the airbus fleet raw data monitoring is still mandatory though, even on managed approaches.