We power our fridge, 50 watt Yaesu ham radio (when we basecamp comm), 1500 watt inverter (charging various items, PSP, camera, etc), water pump, lighting, and whatever else we may need. We have an 80 watt 6.2 amp solar panel that will keep the dual AGM's topped off. As long as we have food/water we can stay out indefinitely. We also have dual batteries in the LC , so a total of 4 if poop hits the fan. <<< thats all just the trailer.
The LC, has GPS, 2 meter, cb, winch, small inverter, occasional day use fridge and running dual batteries itself.
We hardly ever bring our lantern anymore. We have LED's in our Horizon. They're great because they don't attract bugs as much and don't draw as much power. I will also use our ARB adventure light for our kitchen area and shut if off when done with the kitchen for the night. On the back of the trailer we have a HELLA matador that we can use for trail repairs for someone behind us... or checking out brush when grabbing a cold one out of the Fridge

On the LC we have a kaymar telescoping work lamp for working on rigs at night, setting up camp at night.. or what have you. The LC is also running LED lighting throughout and can be left on for days.
My lantern is 30+ years old and runs on white fuel.. i like to use it now and then, just because my dad raise me to camp and thats his old lantern.