LTspice Measure Phase
There are two small problems with your simulation. First the command you are looking for is ph and not phase. Second, this approach is only going to work if there is a frequency point which produces the given phase. You can try the following command and ensure that your frequency sweep has many points:
.meas AC bw FIND V(out) WHEN ph(V(out))=-89.9

UPDATE #1
If you using a bandpass filter, instead of tracking the phase you can check the two points where the filter attenuates the magnitude by 3dB (or 0.707) using the following measurements:
.meas AC f1 find V(out) when mag(V(out))=0.707 cross=1
.meas AC f2 find V(out) when mag(V(out))=0.707 cross=2

In order for it to work, you have to make sure that the magnitude is normalized, meaning that the pass band should have a magnitude equal to 0dB (or 1).
Below is a simple simulation: