I, too, have a 1934 Buick 56c convertible coupe. It's hard to put a value on it because, indeed, there are not many around. The car belonged to my father. He drove it for many years back in the 60s. Then it ended up in our garage, waiting to be restored. Unfortunately, my dad never found the time and he passed away last year. There are a couple great stories I could tell you about how my dad acquired it, the promise he made to the man he got it from, which promise he kept until his dying day, and the story about my dad and mom driving it on their honeymoon and stopping to help a couple in a brand new Cadillac on the side of the road. As my mom would say, she's in good shape for the shape she's in. I think the only part missing is the hood ornament. And then there's also damage to the convertible top caused by a cat. Actually it was my childhood German Shepherd that chased the cat and fell through the top, but I still blame it on that dang cat! LOL The car has been kept inside, in the garage of my childhood home since we moved here in the early 70s, so it has been out of the elements. And my dad did whatever it is one does in order to keep the engine from seizing up. Any advice as to what I should do with the car would be greatly appreciated. The one thing my dad did not want was for anyone to make it into a hotrod. Other than that, I would love to find a buyer who would cherish it as much as my family has.