Me: "Okay guys, choose your alignment."
All players, in unison: "We want to be unaligned, so we can do whatever we want!"
Me: *bangs head on table*
I never understood why players equate alignment with restriction. As if it were some sort of hard rule to follow, a list of dos and don'ts that they would be somehow forced to follow. It's nothing of the sort.
You want to play a paladin who is constantly drunk and spends his evenings at the local whorehouse? Fine. But be advised, the character you just described is not a paladin, it is a fighter who goes to church on occasion. The cool abilities that come with the paladin class are there by virtue of the character's devotion...remove the devotion, and you remove the source of his power. Alignment is not the issue.
You want to play a lawless monk who shuns the formulaic trainings of his dojo and learns new techniques on his own? Go ahead, be my guest. But you know, the character that you have described is not a monk...it is a fighter/rogue who fights bare-handed...a street fighter. The l33t skillz of the monk class are not there because the character wills them to be; the character must earn them through years of highly-structured training and self-discipline. No self-discipline, no nunchaku skills. Alignment is not the issue.
It's about character development. A lot of players want to skip it altogether and play with just a pile of numbers on paper. And there is nothing wrong with that; a lot of people only play D&D for the dice-rolling. Dice are fun, combat is exciting, and everyone wants to be able to do everything all the time with wild abandon. And you should be able to do what you like with your own game.
But WotC, please leave room in the PHB for the rest of us.