I've had similar phase responses and although the phase margin was good, the transient simulation showed clear oscillations (saturated on VDD-VSS).
After many hours reading literature and analyzing the circuit extensively, i found the root cause.
First, if you have a right halp plane pole, the circuit is unstable as its exponential response is unbounded. You can try to place a right half plane zero on it, but across corners you will end up with a zero pole pair on the wrong side....
Second, when stabilizing your opamp, if it has more than 2 two stages and clever compensation schemes are used (neste miller, hybrid miller) make sure its individual loop is stable and that when put together they still are stable.
In my case, the instability was caused by a parasitic positive feedback loop from the output to the biasing of the differential pair (clever architectures to improve performance).
To sum up, whenever you see a phase response like that, there is a positive feedback somewhere. Be careful.
Regards