Fujifilm XF 55-200mm f/3.5-4.8 R LM OIS
Canon EF 70-200mm f/2.8L IS II USM
This is a quick comparison between the two current best telephoto zoom lenses available on the Fuji and Canon platforms.
A Fuji X-T1 was used to test the 55-200. All photos were shot RAW and converted using Lightroom 5.6 using the Camera Pro Neg Std. profile and my default settings for Fuji (shared below). All photos were taken at 135mm and f/4.4 in aperture priority.
A Canon 6D was used to test the 70-200. All photos were shot RAW and converted using Lightroom 5.6 using the Adobe Standard profile. All photos were taken at 200mm and either f/2.8 or f/4.5 (as indicated) in aperture priority.
To start with we have a shot of a leaf against a wooden fence taken at minimum focus distance for the Canon.
For the second shot we have a head shot of me with a tree as a background.
For the final shot, we have a wire rabbit sculpture.
It's abundantly clear when comparing these images that the Fuji compares very well to the Canon. However, the smaller sensor and narrower max aperture limit the ability to isolate the subject from the background. The Canon wins on bokeh as well, but the Fuji is plenty good enough to my eyes.
Finally, we have a comparison of the size of the respective lens and body combinations. I'll leave the conclusion to you.