Mark!
1st is good, but you need a period time meter instead of freq and/or long time to measure.
2nd: I dont know it.
3rd: not accurate for usual high capacitance electrolitics at 1 kHz, because ESR is too high at that freq.
4th: phase angle alone is good for nothing, amplitude must be measured also. And calculation is quite dificult.
5th is good only if capacitance to measure is not much higher than the etalon. Otherwise precision decreases significantly. In case of 10: 10000 uF practically no reasonable measurement can be made.
A quite accurate and easy to use (use, not to build) method: Apply fixed freq, symmetrical sloped, unipolar triangle wave voltage to the capacitor! Convert current to voltage! Synchrorectify it! The voltage is now proportional to the capacity. For a little higher accuracy you can integrate it cycle-by-cycle.