Yes, the easiest fastest way is instead of switching one circuit off and looking for dead stuff, turn them all off and switch one on at a time and look for live stuff. Pick up a plug in lamp holder and screw a bulb in to quickly check wall outlets. Your general use circuits will be loaded with too much to list everything next to the breaker so if you want to get super detailed you'll have to print out a paper with everything on it and the circuit number.
The dedicated circuits will be easy, kitchen counter plugs usually 2 20 amp circuits which will include the dining outlet(s), dishwashers and disposals 20 amp, laundry plug(s) another 20, furnace 20, So start with those. They should not have any lighting on them.
All the rest like bdrm LR outlets and all lighting will be on 15s (unless someone did some hackerty) and if your house is still original the bath plugs will be on a 15 amp general Lighting" circuit and will include any outdoor outlets or garage outlet on the same GFCI. (Newer houses after about 1994 will have a 20 amp circuit just for the bath plugs, nothing else on it.)
2 pole 30's are for clothes dryers, wall ovens, cooktops, electric water heaters and some ACs. 2 pole 50s are for electric ranges and big AC units.
I wouldn't invest in the circuit finder unless you do this day in and day out, a light bulb and a helper is all you need. It's all we ever used when labeling a new panel after a service upgrade, we could do it in about 10-15 minutes. It was at the end if the day, one guy switch a breaker on then come inside and help locate the circuit while the other guy carried a clip board to write everything down then the helper would run out and switch another one and repeat. Of course being in the trade we already knew, or had a pretty good idea, which breakers were likely for certain things.
On the older homes where there is only a few 15 amp general lighting and receptacle circuits we would label them "lights and plugs east half" or "east and middle bdrms" etc. If you want everything identified for future work take a sharpie and remove the wall plate and write the circuit number on the inside of the wall plate.
If you want to get real efficient put some blue tape on each outlet and switch as you discover them to avoid confusion.