I'm new to vintage bikes, but I ended up falling in love with this 1986 Trek tri-series 700 (catalog image)
Reynolds 531 frame, Shimano 600 components, Matrix Titan rims, etc. Nice bike. When I'm not riding it, I'm thinking about riding it, or cleaning it, or otherwise obsessing over it.
I bought it for $60 and it's in pretty good shape. I cleaned up everything, tuned it, and trued the rear wheel and now she rides like a steel thoroughbred! I'm very very happy with my vintage Trek!
Here are my (relatively small) problems:
The original saddle is missing and I find the black replacement loathesome to look at.
I can't seem to find much in the way of new white leather saddles that don't look like something out of Star Wars!!
One of the rubber guards around the brake levers is ripped, and they're both cracked and yucky.
Probably need replacing, but not urgently.
Paint Chips -- nuff said
Advice on any of these problems would be awarded with instant karma and my eternal grattitude!