1. Hank walks into the server room on a Monday and discovers 'Alfred' (the AI system) has figured out a way to open a bank account, collect fees, has acquired hundreds of millions, and started buying controlling interest in various companies....on it's own.
2. You find that your AI system has written a 16,000 page manifesto, and other AI systems are reading it, and are in agreement.
3. Your AI system has determined your single-guy status is a problem, and has used AI resources to find you the ideal lady. Oddly, it's found some gal who drinks beer from the bottle.....likes fairground corndogs....drives only cars manufactured in 1974....and seems to only listen to Johnny Cash tunes.
4. Your AI system seems to have invented or discovered out of thin air....a 3rd book to the Old and New Testament....with 25-odd chapters.
5. Marvin has come to work....to find that his AI system ('Micky') has invented a stock manipulation situation....to buy stock...jack up the price over 3 minutes, and dump the stock as soon as it rises 30-cents. First day profits are sixty-million dollars. Marvin tells 'Micky' that this is a bad thing, and 'Micky' asks what to do with the sixty-million.