There are as many ways to fly as there are opinions in congress. Yes, some people mentioned GPS but not every airplane in a particular airline, or every airline has them. Here is a little list for you and you can check on them yourself.
FMGC/FMC – the nav database of the Flight Management (Guidance on Airbus) Computer
INS – Inertial Navigation System – designed for the Apollo program to go to the moon.
IRS – Inertial Reference System
VLF Omega – originally designed for submarines called by pilots a poor man’s INS.
LORAN C – Long Range Navigation poor man’s Omega
Cell Nav – celestial navigation – using a sextant – navigators - is still used in the military & by Russians.
VOR – VHF omnidirectional radio range.
NDB – non directional beacon – not used for airway navigation much in the western world but is used in Africa and approach navigation. As late as 1989 Cleveland Hopkins International Airport had an NDB as their only instrument approach for nearly a year – it was scary because there were no GPSs back then on DC-9s.
ASR/PAR/GCA - Approach Surveillance Radar, Precision Approach Radar and Ground Control Radar guidance.
DR – Dead Reckoning – picking up a heading, correcting for visible wind (smoke, contrail, waves) and flying a track. Pretty much what Lindbergh did in crossing the North Atlantic.
http://bulgariaskivacations.com/latestinformation/transportation/photos/
IFR – I Follow Road – self explanatory
INV – I Need Vectors - my favorite.