Suppose you've got a small AC signal centred around 0V, and you want to amplify this signal a bit whilst also introducing a DC offset of +Vcc/2.
The goal is to amplify and shift up the signal to Vcc/2 so that the entire waveform is always positive and in the 0-Vcc range so it can be sampled by a single-ended ADC, so that the minima of the signal is just above 0V and the maxima of the signal is just below Vcc, where Vcc is the voltage reference that will be used with the ADC, without using any negative power supplies for the opamp, using the simplest minimalist circuit.
I've attached an example simple schematic as a starting point... but how would you do this differently, or improve it?