100 watts bare minimum if you have good sun access, 200 watts would be better yet. I have come to the conclusion that 200 watts is probably the minimum viable system for most conditions. Northern climates (lower sun angles), partial shade, etc will require even more.
I have a Renogy 100 watt suitcase panel and it will usually keep up with my use here in the Deep South. If I have a partially cloudy day, or a very cold night it won't do it, so I run the generator for a couple of hours.
However I am a very light power user. My primary use is the water pump, fridge control board and the furnace on a cold night. I have all LED lighting and don't watch much television if any.
Aaron