For home consoles, Nintendo. Sonic is cool, but nothing can dethrone the almighty Mario. Nintendo's got the Mario series, the Zelda series, the Pokemon series (love it or hate it, it got REALLY popular), F-Zero (Ok, Ok, maybe this can't touch Daytona, but it's still cool.) Mario Kart, Mario Tennis/etc...
For arcades, definitely Sega, cuz' they have all those sweet 3-monitor Naomi games (that flight sim game is dominant), the Star Wars Trilogy game, countless great racing games, and of course, sweet fighters.