Many of us remember those old machines. They were primitive and limited, but they opened our eyes to previously unthinkable horizons.
MIT's Technology Review has a partial list of reproductions and emulations of those old machines, along with some modern-day ones meant to teach younger people about computing. Some are kits, some are complete machines. At the very least, reading this 2 page article will whet your appetite for the reproduction machines. It did mine.