CFB op-amps are famous for not loosing their wide -3dB amplifier bandwidth as you increase gain, as do VFB op-amps. Many of us know this aspect degrades at high gains, but not as well as we should. There's a deadly parameter, Rb, which is the input resistance of the "-" input. This ranges from 8 ohms to 500 ohms. For low Rb, transistors have to run at high currents.
Rb competes with low Rg for feedback current, forcing one to use high Rg and Rf values to get high gain. But high Rf means poor slewing and bandwidth. Most CFB op-amp formulas don't mention or include this critical Rb parameter. If you force Rg too far below Rb, oscillation or severe peaking and ringing can occur.
This can mean that if one needs a stage gain of 20 to 100x, a VFB op-amp can compete with a CFB type for the job. Today I updated my op-amp spreadsheets, taking Rb into account. Only a fraction of manufacturers give us the information we need; most content themselves describing their op-amps for use at G=1 or 2. But much can be surmised by studying curves.