The NG 737 is approved to operate LNAV approaches these days thanks to GPS being the PRIMARY position input towards the FMC position followed by radio updating and finally IRS information. Makes track keeping really easy on the approach only having to worry about vertical path.
Mind you maybe its become too easy. I was PNF checking a new pilot on line and asked him to shoot a practice NDB approach.
He flew a beautiful approach in LNAV & VS, unfortunately he had all dog ears in the VOR position for the approach, meaning he had no ref whatsoever to the raw data position of the NDB. Lucky one hey?