What does Buddhism say about how to manage other people's anger? What does Buddhism say about how to manage other people's anger? Does Buddhism suggest any specific attitude when we are facing angry people, especially when they are unable to control their anger and/or unaware of their anger?

Intuitively I try for example to listen to the person, understand him/her and remain calm myself as much as possible.

What kind of recommendations or advice does Buddhism offer to help us in such situations?
A very apt verse in the case of anger is this one from Dhammapada - Na Hi Verena Verani - Hatred is never appeased by Hatred. It is appeased only by loving kindness.

Here is the Dhamma talk by Ven. Yuttadhammo on that particular verse. 

Although there are certain differences in anger and hatred, the basic approach will be the same - Remain equanimous by knowing Anicca, Dukkha and Anatta at the level of your body and then based on your sensations cultivate Loving Kindness towards the person.