The battery on most of my cars were original OEM units when I purchased them.
My Integra's battery was perfectly fine during the time I owned it. It died once but that was of no fault of its own. I left the radio and interior light on for a long a** time, and thus there wasn't enough power left in the tiny battery to turn over when I tried to start it. Little jump start and letting the alternator charge the battery, it was good to go. I believe this car was a '91, and I owned it back in 2009-2010. So, the battery was roughly into 19 years of service and was still good.
My 420SEL Benz was on its original OEM Bosch unit as well; massive battery that thing had. And, it served me excellently for the 7k miles that I did with it during the time that I owned it. This car was an '89, and was under my ownership around 2011. So the battery was even older than the one in my Integra. I'm sure you could do the math on exactly how long that was, yourself.
My Cressida was on its OEM unit as well, and was actually the only car that I've had where the battery quit on me on its own accord. The car was a '92 model year, but it had done 256k miles though. So, I suppose the battery had already served for that long; despite being young, it had a hard life.
My current '90 model year 300SE Benz, I believe is on its original OEM unit as well. Serving me well, and has served me well for the past roughly 6k miles. I intend on keeping this car until well over 250k miles, so I'll comment further down the line on the battery life on this car, when the time comes.