It seems like everyone my age (except me) started computing on Digital Equipment Corporation's PDP series of computers. Indeed, they are still mentioned fondly and a few are still in use. Certainly the successor to the PDP series, the VAX is still going strong in many businesses.
DEC is no more, but their influence is still strong in the history of computing. Microsoft co-founder Paul Allen has an old computer museum and a web site about them. It really is a work in progress, but there is enough there to satisfy a lot of your curiosity and whet your appetite for more.