Bought the LeB. w/ 52K mi. It now has 100K and I've had no problems at all. No oil burn, no leaks, everything works well. I'm a believer in preventive, rather than breakdown maintenance, and it has always paid off.
It's a rag top; what's not to like?! Nice body style and the 3L V6 has good power.
LeBarons never had very well designed auto. transmissions, and this one is no exception. I've never had a bit of trouble with it, but it's always had a loose feel to the shifting. Hasn't gotten worse through the years, but just doesn't have a tight, crisp action to it.