Off the top of my head,
Wii U- "What U will play next"
Wii- "Wii would like to play"
DS- "Touching is good" (I shit you not, that was an official marketing campaign)
GameCube- I THINK "Born to play"? I might be wrong on that though
But yes, as long as I can remember/have read about Nintendo (and every major console maker for that matter) has had a tag line on release