Oh God, I've got loads.
When I worked for a London Borough council I had one woman ring in, the phones/computers had been down which meant she took ages to get through. She was understandably annoyed and asked why it had taken her almost an hour to get through to a person, and I said "I do apologise for the inconvenience, it's just we've had countless IT problems today and as a result we now have 27 people in the queue." She shrieked "27 PEOPLE?! What are you going to do about that then?!" I explained that unfortunately we can't control how many people ring us up, but if she wanted to get through at a less busy time it's best to try and avoid Mondays and Fridays. She responded that I was very rude. Um, I thought I was being quite helpful actually, but OK...
Also at the council, there was a guy who complained about me because I'd told him to stop shouting at me. My boss listened to the call and sent him a letter telling him to get stretchered, or words to that effect. This man was actually found dead in his house a week later from a heart attack, resulting in many jokes from my colleagues along the lines of "Witchcraft, CatLady, or was it actually you sneaking out of his house in a hoodie?" He probably shouted himself to death!
A third one at the same place - This bloke's boiler had gone out and we booked the gas engineer to go out within 24 hours, but were unable to give a specific time. We put on the notes that he was at work and requested that the engineer call as late as possible; but made him aware that we weren't guaranteeing anything. He was calling from work, and put his boss on the phone. His boss began ranting at me about how badly we were treating his employee as a tenant, and that if he was foreign or a benefits scrounger we'd probably give him a time! I said to Mr Big Man, "Well if you really care about him, why don't you just give him the day off?" He didn't like that idea, as his company would lose money; proving that he wasn't concerned about Employee/Tenant at all. He was just concerned about his own precious revenue. Though he did agree to give him the day off paid in the end. He also apologised to me "if he had sounded racist". Think he must have sensed my disapproval!
We'd have people complaining about how our repair staff's working hours didn't allow for the fact that some people worked - which they did have a point on, but there was no justification for some of the things they said about their neighbours in less fortunate circumstances. One woman's toilet had burst leaking water all over the place so we sent out the emergency plumber. He missed her the first time because she was at work so I sent him out again and asked him to bring a temporary toilet until we could replace the one that had burst. She didn't care about the fact that I'd actually gone out of my way to make sure she didn't miss him again. just went on about how she worked unlike the rest of the "scum in her street". My blood boiled at that, because she's not better than her neighbours just because she happens to have a wage coming in. I reminded her that we were in a recession, and in any case how did she know so much about her neighbours' business? That shut her up!
Not my workplace this next one, but one afternoon a few years ago, the water was switched off locally due to a burst pipe. I went online to monitor Thames Water's Twitter page for updates. I couldn't believe some of the comments on there. People were saying they wanted to make a complaint and how could they get compensation. IT WASN'T ANYONE'S FAULT! Yes, it's annoying and horrible not being able to have a shower or a cup of tea or use the toilet, but sometimes stuff just goes wrong and it's not anyone's fault. The water was switched back on a couple of hours later anyway, but if Thames Water hadn't turned the supply off to investigate and someone got sick from drinking contaminated water, I daresay they'd be seeking compensation for that!
Also I used to work for a parcel delivery firm. A bloke rang in one day with a sorry-we-missed-you card he'd been left by one of our drivers. I typed in the tracking number which showed his next door neighbour's address. Now that was quite a common error by couriers, although it shouldn't have been. The driver had simply left the card at the wrong house, but this guy went apeshit. He was adamant that somebody was using his address for fraudulent purposes and when he saw that it was an Eastern European name, he began ranting about how this is what happens when you let Poles into the country! I retorted, "My mum's Polish." Not the first time I've used that either! He sounded rather embarrassed then and acknowledged that it was "all probably just a mistake."
I'll let you know if I think of any more.
they asked me if I could do anything about all the leaves falling , I said this happened every year and the council did clear them as soon as possible but there were lots of trees with lots of leaves 
