Fuji x20 v Sony rx100

The problem is, in my experience, the RX100 lens is kind of soft, almost dreamy at 28mm @ f1.8. Especially at close focus, the Zeiss lens is has soft corners, and lower contrast. The X10's lens at 28 f2, on the other hand, has very good sharpness, and superb close focus abilities.

At 28mm, the X10 focuses extremely close something like 1 cm vs 5 cm minimum close focus distance for the RX100.  There are a ton of threads online about the RX100 macro performance.

CameraLabs has some comparisons between the LX7 and RX100 wide open where you can see the Zeiss lens at max aperture.  And there are some portrait images at full telephoto at 90mm @ f2.3 for the LX7 and 100mm @ f4.9 for the RX100.  (See link below, scroll to middle of page)

http://www.cameralabs.com/reviews/Sony_Cyber-shot_DSC_RX100/

At the telephoto end, X10 does a good job providing decent subject/background separation at longer focal lengths with the lens shot wide open.  It's larger than normal 2/3" sensor, and f2.8 max aperture make it one of the better cameras for shallow DOF/bokeh shots (at least up close).

An X10 example image from Flickr (not mine)

X10 candid @ f2.5 - good separation of subject and background

Of course the RX100 has similar shallow DOF abilities provided it focuses this close.  But I just wanted to highlight the fact that the f4.9 max aperture kind of negates DOF control that larger sensors normally provide.  Maybe someone else knows the minimum focus distance of the RX100 at 100mm, but I'm pretty sure the X10 focuses much closer at both ends of it's zoom.