It depends on the nature of the offence, of course.
Boredom is a perfect excuse for minor infractions during daytime, but it does imply a sort of childishness or lack of imagination.
Drunkeness can obviously excuse a greater degree of offence, but if said offence occurred before, say, 6pm, being drunk makes you look like an alcoholic / out of control / mental.
Far better is to add context... - I was drunk because it was a mates's birthday / a work do / my pet died /
... I was bored because of this work meeting / the telly is broke / I was stuck in a traffic jam on the north circular on the way to Ikea and the radio would only tune to Chris Moyles.