I don't know that it's 100% a "tidy example" of BradleyTerry, but there's a tutorial from this year's UseR conference by Stephanie Kovalchik that works through some examples using BradleyTerry2 for paired comparison:
(example slide
note: BTL stands for Bradley-Terry-Luce)
The slides are in Rmd, so I just cloned the repo so I could open the html files locally.
The tutorial also has video (see below), I tried to make it so it'll go to the right section, but if not, it's ~ 1:03