Like Jim said, it depends on the condition, but it also depends upon your budget and schedule. You're calling it a rolling resto, so I presume you want to continue to keep it driveable, at least in the summer, and do major work in the fall.
If that's the case, I'd start with any engine room, drivetrain, body bushing, suspension and brake work that need to be done, especially if you plan to clean and paint the engine compartment. Once it's back in good running order, tackle the electrical and interior work. Just before it goes into the paint shop, replace the hood hinges if needed. Good paint shops will be able to mask the glass and interior properly to avoid overspray. One local shop gives a better rate if you leave the car with them over the winter for paint, so they can work on it as time permits. You get free winter storage plus a freshly painted car in the spring. They also do interiors, and have a repair shop next door if mechanical work needs to be done, so if you had the budget for it you could drop the car off in the fall and pick it up, restored, in the spring. But I like to do as much of the work as possible myself, and don't have the budget for the full-service treatment.
If you are replacing the doors or they need sheet metal work, you may want to reverse the order. If you have to replace the blower motor, you will want to do that before the paint job as it requires removal of the passenger fender in some cars. You don't mention what year or body style your car is, but my '69 with A/C was a project to remove the fender, swap the blower, and reinstall and realign the fender without chipping any paint. If yours is inaccessible, you may wish to replace it, even if it hasn't failed yet, before painting.
I am slowly working on my '69, one thing at a time. Last summer only minor improvements were made, mostly replacing missing original parts and replacing parts that were in poor condition. Over the winter and spring I replaced the timing chain, top end gaskets, hoses and belts, the radiator was flushed and new coolant installed, rear springs and shocks were installed, upper and lower ball joints and shocks and swaybar bushings and endlinks were replaced, and a stereo system was installed which required removal of seats and lifting the carpeting.
The car is undergoing only minor upgrades this summer, including replacing the exhaust system and replacing the missing power antenna and further tuning for better performance. As I remove, adjust or replace items, I also replace the associated weatherstripping, bushings, wedges, and other wear items.
This winter I will reupholster the seats, replace the tie rod ends, and probably replace the cam though that may now wait until the following winter. The rear wheel cylinders are also on my list, as are the rear brake lines, and I will replace the shoes and have the drums resurfaced. I should be done with these items in time for warm weather.
This may not be the fastest way of completing a restoration, but it allows me to enjoy the car during our May to September top-down weather. I have a month on either end of that for fine tuning the details for better performance or driveability. It also allows me to prioritize safety related issues, and still stay within a reasonable budget for yearly improvements while still enjoying the use of the car during good weather.
Analyze your car in three categories: safety, performance, and appearance. List the items in each category, examine the related items to determine their condition, sort them into logical repair groups, consider which jobs will affect others, order the necessary parts, and complete as time and budget allows.
Good luck, and have fun with your restoration.
Vikki 1969 Goldenrod Yellow / black 400 convertible numbers matching