Thinking out loud :
A single pole at f >> fp produces 90 degree phase shift. Most fast
OpAmp are 2 pole, so can produce up to 180 phase shift. Now if
this fdbk produces 180, and given opamp inverting = 180 degrees,
then we have a possibility for unstable in that single stage.
Think about walking the loop. First we go thru the first amp, it having
fdbk, and a phase shift then we go thru second amp, more phase shift.
Then in your circuit you have a 0 phase shift element from output all the
way back to input, a fractional G associate with it. But it is positive fdbk.
So if we ground the input, no signal contribution, and walk the loop, and
we find we have 360 degree phase shift and a loop G exceeding 1 at some
frequency we have built an oscillator.
Did you do the bode plot breaking the +fdbk loop, from the non inverting
input to the output of both stages ?
Regards, Dana.