A 6V to 5.2V regulator could be done with a decent PNP pass element in a Darlington configuration. Or a low gate threshold mosfet. The reference could be a Zener, a TL431, etc. An LM358 would do for a voltage and current regulator. It won't be very efficient at light loads, but modern power PNPs are plenty good for 0.5V or less C-E saturation at currents of several amps. An LM358 is not a stellar performer at 6V, but it would do the job adequately, and is dirt cheap. Most off-the-shelf LDOs will have that circuit beat by a long margin in every spec imaginable, but if you want to have some fun designing one - go for it! If you don't need a very accurate current limit, then TL431 would work as a voltage regulator all by itself - no additional op-amps needed.