I've been hearing that scare for years, but it's not the 3800 V-6 you have to worry about. It's the older Chevy 3.1/3.4 V-6es, which nowadays are just about phased out. The Equinox/Torrent use them, but I think that's it. With these engines, it's not the gaskets, but the actual plastic intake manifold that goes bad. Vehicles that used these engines include the older GM minivans (Montana, Venture, etc), the '03 and earlier Malibu, Buick Century, Pontiac Grand Am/Olds Alero, and cheaper versions of the Grand Prix and Impala.
I think most intake manifolds these days are plastic, in order to save weight, but there was some kind of flaw in the 3.1/3.4 units. This engine is derived from the old 2.8 that first saw the light of day in the Chevy Citation, Celebrity, and its ilk, but back then I think they probably used aluminum, or maybe even iron, for the intake. I knew two people with Cavalier Z-24s that blew head gaskets though, so I'm sure that engine had its problems. Hey, it was the 80's though, so what cars didn't have problems?
Today, the 3.1/3.4 has been massaged into the 3.5/3.9, which is used in the newer Impala, Malibu, G6, and the minivans. It's been massively overhauled though, so I don't think it has those intake manifold problems. Or, if it does, maybe the engine's just too new for them to show up en masse?
As for the 3800, it's a Buick design, dating back to 1961. It's a bit past its prime, but is a good, sturdy, compact, durable engine. Now from 1975-84 the 3.8 was pretty junky, because the block was too weak, it had lubrication problems, and a nylon/mesh timing gear that tended to fail early, but it got a new block for 1985 that eliminated most of its problems.