Approaches with similar functionality are RNP approaches.
You'll need an FMS system coupled with GPS (or WAAS+GPS receiver) as a
sensor, and special training to fly those.
They have exactly that stuff, arbitrary curved and straight segments,
with a GS calculated all the way in.
Most aircraft able of flying RNP approaches are jets, typically
regional jets and 737 sized jets.
So far I couldn't understand for sure why an WAAS receiver can't be
programmed to guide RNP approaches.
Perhaps the lag that GPS has with turns. The Kalman filter causes
that. For those curved segments.
What is necessary is incorporating an inertial receiver into WAAS/GPS
receivers so it can pick up turns with less lag.
Non RNP RNAV approaches don't have turns that are very close to
terrain ahead or lateral. Lookup RNP approaches into places like Palm
Springs-CA and you will see how critical some turns are on RNAV
approaches.

Marcelo Pacheco