Allen, check the fuses, first, and foremost. Don't just eyeball them, as they can develop a minute break, rather than burning open. You will need to use an Ohmmeter: Digital Volt/Ohm Meters can be purchased at nearly every DIY store, or Harbor Freight, for anywhere from $5-$20, for very good meters. They are indispensable for for electrical troubleshooting.
If the fuses are reading as shorts/zero Ohms (some meters read 0-6 Ohms when the leads are shorted -- check your meter so you know what it reads when you genuinely have zero Ohms...), then switch it to DC Volts, and measure what the voltage is at the sockets. It should read 12+ Volts, with the running at 2k RPM's. If it reads 10 Volts, or less, check your battery's terminals and make sure it is charging (should be 13+ Volts when charging). If you get some low voltage at the sockets (less than 12+ when fast idling), then you have a bad connection somewhere. Make some tests, and let us know what you find.
I would also recommend either testing the bulbs with the Ohmmeter (just to be thorough, they should read less than 100 Ohms), just to make sure they're good, as they, too can burn open and look good. Cheers!
1979 CB750K (sold, 2012, but not forgotten)
1983 Kawasaki 440 LTD Belt Drive (sold, 2011)
1993 Kawasaki Voyager XII