I still carry a flame for the Sega Dreamcast because it had some great games that are still being remade today for other consoles, it was the first console to have internet access and online play. A lot of people feel that the Dreamcast would have had a longer life span if the PS2 hadn't launched soon after. The PS2 was the cheapest DVD player around when it launched and back then not everyone had a DVD player because they were new technology.
Anyway, the Dreamcast had a really adorable memory card called the Visual Memory Unit that had a little screen and when you saved your game you would see a little animated sprite on the screen. The Dreamcast had better graphics than the PS1, until the PS2 came out and killed it.
Some of my favorite Dreamcast games are Soul Calibur, Dead or Alive, Phantasy Star Online, Sonic Adventure 2, Tomb Raider: The Last Revelation, Shenmue, Crazy Taxi, Jet Set Radio, and Space Channel 5.
Anyway for the Dreamcast to come out in 1999 with internet and online play was a big deal and paved the way for Xbox Live and PSN. I have 2 Dreamcasts, they both work and my daughter and I still play them sometimes.