Reference for triangulated categories As far as I can see, there has been no such request on MO or MSE yet, so let me start one: What are good references for an introduction to triangulated categories? Is the canonical reference just Weibel‘s book on homological algebra, would you recommend reading Verdier's original paper or is there some other reference that you like?

Amnon Neeman has written the research monograph Triangulated Categories. Although it is not intended to be an introduction, you can learn the basics of triangulated categories with the first two chapters. Notice, however, that the monograph contains almost no examples.
As with any chapter in Weibel's book, the chapter on triangulated categories is super-condensed. That can be useful for a quick start, but many details are left to the reader, and many things are left out as well.
