Here are few question
Gain, (how to improve gain?)
Bandwidth, (how to improve bandwidth?)
Feedback,(Stability is a must ask question! Know pole, zero, gain and phase margin!)
Slew rate,(How to improve slew rate?)
Offset,(how to eliminate offset? Chopper stabilized circuits, autozero)
Noise,(what is thermal, flick, shot noise? What are the noises of BJT and MOSFET? (Tell me one way to reduce flick noise)
Compensation (what is Miller, lead and Lag compensation? Know what is Miller Effects).
Layout (centroid, interdigital) (how to improve the match of current mirror, differential pairs?,
Remember: Same Structure (poly-poly not one is poly-poly another is poly-metal), same
Temperature, same Shape and size, same orientation (current flow parallel), Same surroundings(dummy transistors) and Common-centroid geometry (fingers, interdigitated fingers, what is
the purpose of breaking into fingers?))
Thermal resistance (basic calculation).
Filter
Oscillator
Peak detector
Frequency divider
Bandgap Reference
All the best,
Gold_kiss