BEagle, do you really mean that you think that it is better
for a pilot to be working out lat/long coordinates rather than
have their position indicated on a moving map? That
has got to be a difficult position to justify...
If you are flying with an approved IR GPS setup in the US
you can perform the whole enroute element of the flight
on GPS, switching over to ILS for the landing phase.
Alternatively as A&C states you can make a non-precision
GPS approach to a beacon using the NDB procedure.
Having had the pleasure of recently doing a stack of NDB
tracking I am convinced that GPS approaches are far more
accurate than the NDB equivalent and less prone to systematic
errors.
-- Andrew