...but I was hoping to see few examples in detail.
Ok, here's one that has happened to to me, personally, in regular line flying.
Max weight takeoff, with full fuel (95 tons).
All landing gear retract, except...the right hand main gear.
Refer to the QRH.
Nothing found.
However, there is an alternate procedure that is in the AFM, but many are not aware (I wasn't either until pointed out by a Lockheed former production test pilot).
Apply the procedure, landing gear retracts normally...insted of dumping many tons of fuel, that were uplifted for our planned 11 hour overwater flight.
Or...
Aircraft approaches the destination, however, flaps/slats fail to extend.
Runway is less than 8000 feet (with the airplane at MLW, due fuel tankering), so a diversion is necessary to keep from running off the end.
Then, on reaching the alternate airport (with a longer runway) the landing gear fails to extend...normally.
Followed by...the normal alternate gear extension doesn't work, so back to the QRH for the alternate/alternate procedure.
Airplane lands successfully.
Result... crew have learned a few things that normally don't appear very often, but could have the potential to ruin your whole day.