Sunbeam Tiger
The Sunbeam is a classic English brand, long gone from the market and remembered by only a handful of enthusiasts. But the Alpine is a nice looking car with dependable and conventional mechanicals. Also, it comes with a small 1.5 or 1.7-liter four-cylinder motor. Over the years, Sunbeam built over 60,000 Alpine roadsters, so finding one is easy. For under $20,000, you can find a nice example of this interesting car.
However, if you are looking for a more serious machine, you might want to look for the Sunbeam Tiger. This model looks identical to the Alpine, but packs a 260 or 289 Ford V8 engine under the hood. And that gives it a much better performance and soundtrack. But best of all, the legendary Carroll Shelby designed this model before he worked for Ford.