Well, kinda, but not entirely that simple. I've probably re-bought more computer games than console games, really.
I play my Atari and Nintendo (original NES, and SuperNintendo) games on my PC in emulation.
My original computer games were for the Mac OS 6 through 9, none of which are compatible with my curent MacBook running OS X, so I either don't get to play them anymore, or I re-purchased them for PC. GOG.com makes this relatively inexpensive, and honestly it's easier and cheaper (in terms of time) to re-buy rather than try to do the hacks.
I do still have a PS2 (maybe 15 years old) with a few games that I only play every few years, and my "new" console is a PS3 that's about 7. Even that doesn't get much use as a gaming box since the first kid was born 4 years ago. I don't have any duplicates here, but I do have a few that run in a series across consoles. For instance, Dynasty Warriors 4 for the PS2, and Dynasty Warriors 6 for the PS3.