I agree with Kittipong that there is no ideal op internal circuit  diagram. There is an ideal op amp circuit element having infinite input impedance , a zero output impedance and infinite differential gain 

and infinite common mode rejection ratio. Practical op amps approach these ideal characteristics at very low frequencies below the the open loop cut off frequency.

If you want to compare your amplifier you must compare it with the target specifications set by you for the designed op amp or you can compare it with some standard op amps like 741 which i a very popular op amp. You can find the circuit diagram of such op amp published in analog integrated circuits text books and in some data sheets.

If you want that your op amp go to the unity gain at relatively low frequency yo must compensate it by a shunting capacitance at  the output of the intermediate stage or any appropriate point in the circuit. The op amp frequency response compensation is explained in details in the design text books of the operational amplifiers.

If you have a schematic for an op amp and you want to use it, you can not get the same results because you use an other technology file such that the transistors will have different characteristic. This is very normal.

Wish you success.

Thank you for your reply. I reached the same conclusion but I guess I was hoping for an easier answer.

Thank you and best regards.