Obviously a lot will depend on which lasts fit you better, but assuming both brands fit you equally as well I would personally opt for the EG.
I have the EG Chelsea in dark oak on the 82 last and love them - they are sleek, simple, classic and elegant. To my eye, the perfect oxfords. I will need to get a pair in black at some point too.
In terms of the EG lasts, the 82 is a round toe like the 202 but a little sleeker. The 888 is square toed (personally, i think a round toe like the 202 or 82 will look better on an oxford).
This will be at odds with the views of many forum members, but I have never really taken to the Lobb City II. Whilst I am sure the Lobb's are of high quality, the leather, detailing and build quality of the EG's feels so much nicer to me.
I recall someone started a thread a while back stating that spending a lot on high-end plain black shoes was a waste of money - I couldn't disagree more. To me, a simple, sleek pair of high quality black oxfords that will provide many years of use (and will look great once heavily worn and then polished) are close to perfection!