Sega's little white almost could. What an amazing selection of games were put out in its mere 20 months of viability.
Model 1 Dreamcasts will boot pirated and homebrew games off of burned CD-Rs (though a boot disc may be needed), model 2s have protection against this. Thankfully, model 1s are the most common. Look for the number in a circle on the bottom of your console. There is some debate over whether CD-Rs can wreck your Dreamcast's laser arm motor, however.
The Dreamcast can output crystal-clear video to computer monitors and HDTVs via VGA with a peripheral box. Official units are very rare and expensive now, but there are several reliable third-party boxes. Not all games support VGA.