It really depends what you're doing with your bike. Reading between the lines, it was probably an upright transportation bike (aka "Dutch" bicycle). Maybe with fenders and a rack? It's sort of hard to find those in the US, but they are becoming more popular in the cities, especially cities with rail trails.
You're more likely to find a similar feeling bike like a hybrid in the US, typically these don't have fenders or a rack.
The most important function of your bike will be the fit. Find a way to get that right, at a bike shop or from a friend. Then you can check Craigslist. You'll probably want to google for things to watch out for buying used. For a bike with lots of miles, it's common to find that it will need a new chain and cassette. But just about anything else can go wrong. :-)