Also where are all the decoupling capacitors? It is common rule to decouple all power entry to opamps and regulators, this is good example when it's important.
I cannot use decoupling capacitor on the VCC and VEE of op-amp since I am using a bootstrap circuit. I used circuit from following paper(figure 4).
http://www.ti.com/lit/ml/slyy054/slyy054.pdfWhy not use zener stage for opamp power rails to clamp for low voltages, and discrete power stage at the output to drive load?
Can you please elaborate more what do you mean by this?
Did you try it on a lab supply first? Trouble shooting a custom PS and AMP at the same time might be hard.
Did you try the hybrid op-amp without the complex feedback in a simple noninverting or whatever?
I do not have a lab equipment that can generate 100V DC

. Yeah my guess is also same that somehow rail voltages are getting affected.
You may have to increase the value of the output caps (C1, C3) a bit? Also I have no clue wether the transformer you chose is really adapted to this task - from the datasheet I got (Sumida), there is no CEP1110 model rated for an output voltage greater than 48V?
I increased C1 and C3 to 1uF (CGA9P4X7T2W105M250KE), it help reduce it a little bit by 1Vpp. Increasing it to 2uF did not have significant affect. I ordered custom transformer samples from Sumida for the transformer. I am attaching the datasheet for the transformer.