Stove, fridge, 10 gallon water heater, toilet, bed, a/c, a comfy chair and probably a tv. A table to eat at, and probably a convenient place for your computer (unless you figure your lap is sufficient). Good-sized fresh and waste water tanks and 50A electric. The washer/dryer, unless laundromats are ok with you - either method works fine and personal preference governs.
If you plan to spend much time off-grid, solar panel(s), a large battery bank, inverter and a generator. If not, you probably don't need any of those and just a modest battery or two.
Fulltimers usually require more storage space than weekenders because they bring all their worldly goods with them. You need to carry important papers, momentos, your hobby stuff, tools, etc. Whatever is important to you.