Consider some graphics which spill over the plot range, like these:
Graphics[{Red, Disk[{0, 0}, 1]},
PlotRange -> {{-1.1, .9}, {-1.1, 1.1}}, Frame -> True,
PlotRangeClipping -> False, ImagePadding -> 20, FrameStyle -> Thick]

Can I make the graphics be drawn in front of the frame without drawing the frame manually? Is there a possibly undocumented option for this (maybe a Graphics Method option)?

GraphicsMethodoption', so you were clearly thinking along the right path... But I agree that we do overuse this reason for closing. Anything is easy to find, if you already know where it is. – Brett Champion Sep 08 '14 at 21:13