I wanted to say depth > breath.... but changed my mind.
I honestly dont really always care about doing every little thing in the game.
Some things are just too troublesome, and Id rather just go to the next game instead.
It really depends on how much you enjoyed the game, I guess.
But I usually go "deep" into depth of a game, learning the mechanics behinde the systems and such, so I can min-max, before even playing it.