The only difference between the RX1R and the original RX1 is the removal of the low-pass filter. The RX1R's photos are very subtly sharper and more detailed than the RX1's, and unless you shoot a lot of subjects with very fine details like fabrics or man-made patterns, you'll be hard-pushed to spot any moire or colour aliasing .

http://www.photographyblog.com/reviews/sony_cybershot_dsc_rx1r_review/

Like the RX1, the Sony RX1R is clearly capable of delivering extremely high image quality with a sharp Carl Zeiss 35mm f/2.0 lens on the front. The camera is roughly the size of a medium sized mirrorless camera with a compact fixed lens on the front, but with a full-frame sensor its noise performance is excellent, and for those who are looking for the highest quality in the smallest package available, the Sony Cyber-shot RX1R is an excellent camera, particularly if you have the money to afford it.

The Sony Cyber-shot RX1R is a very slightly improved camera compared to the original RX1 with the AA filter removed it has the potential to deliver slightly sharper images, although with the added risk of moiré appearing. The difference is quite subtle and you would be hard pressed to see the difference without comparing results side by side.

http://www.ephotozine.com/article/sony-cybershot-dsc-rx1r-review-22466

http://www.dpreview.com/galleries/reviewsamples/albums/sony-cyber-shot-rx1r-preview-samples

RX1 provides superior controls, customization, full-frame goodness, and, arguably, a little je ne sais quoi magic from the Carl Zeiss lens.

http://www.ishootshows.com/2013/10/09/sony-rx1-review/