A pleasantly eccentric colleague used to pace the office saying 'I'm tired and weary of this world' and making various animal noises. We used to egg him on. He was quizmaster for the Friday BBC quiz, and people who were on holiday or off sick would often ring in so they could participate.
One woman never wore a bra - unfortunately she was quite old and had very saggy breasts which ended somewhere around her navel. She dressed in dreadful baggy sacks of clothes and never wore makeup or made herself look nice. Her boss was a very glam woman who bought her suits from John Lewis lines and wore loads of makeup. I was interviewed by the two together and was really confused as to what the dress standard of the organisation was.
A dear old Oxbridge gentleman held some public meetings in a rough area where the school kids shot at the council officers' car wheels with air rifles. He said how refreshing it was that the art of catapult shooting was still in use amongst the young. 
One temp drew pictures and doodles all over consultation responses which she was photocopying to give to senior councillors.
Another temp explained at length that she thought that the world should be more understanding towards paedophiles as they probably inherited a taste for young children from the middle ages when everyone got married in their teen years.
Another temp would huff and puff and get cross whenever she had to answer the phone and would be really rude to the caller. It was an admin / receptionist type post.
We finally got a very normal, competent, diligent student temp to fill the job and one day she rang in to say she'd had to go to the police station to give a statement about an incident for which she'd been a witness. She never returned. The agency never managed to trace her and she never contacted them either. She ignored or un-friended all the colleagues who were friends with her on facebook.
One headteacher was lovely and very over-worked, but had to water all the pot plants in the school and change all the printer cartridges himself.