How to translate 'busy' in French?

The word busy is part of every londoner's conversations. Therefore, its wrong translation is a daily occurence in my routine as a French teacher. This post has been long overdue! Read on. 

Comment dire busy en français?

Il y a du monde: for trains, buses, concerts, shops, anywhere with a lot of people. 

C'est chargé: timetable, agenda, programme, day.

Une journée chargée m'attend. I have a busy day ahead of me. 

J'ai un emploi du temps chargé cette semaine. I have a busy schedule this week.

Occupé: person, phone (engaged), toilets

C'est occupé: it's busy

Je suis occupé(e): I'm busy