Many reliability issues on shotguns....semi-auto or pumps ...can be related to ammo issues ( guys shoot the cheapest junk they can find ...and sometimes the hulls are not sized properly ) ... but maintenance is an issue too --- keep them clean and properly lubed and most gas operated semi-autos ( at least from Beretta and Browning ) will easily run 200,000 shells without an issue - and probably longer.
FN - owns Browning and Winchester now ( has for several yrs) - and it looks to me like Browning people are running the shotgun division / with Winchester options having many Browning parts in them including the chokes. You might look at Winchester options as well ...they are usually a little cheaper than the Browning branded guns.
Beretta is not my favorite...but its a fit issue for me / not the guns. Beretta probably offers over 30 semi-auto models...many in field grade that will handle 3" shells ( so they shoot 2 3/4" and 3" )...
I don't think you'll find any reliability issues with a Browning - Winchester or Beretta semi-auto.
Thank you Big Jim for your observations and well thought out reply. I will expand the scope of my search.
Joe