All Alright by Fun. describes my AvPD so much I almost cried the first time I heard it. AvPD contributes to my depression, so I'd think it calms.

Be Calm.. also, by Fun. captures both my upswings and my anxiety. Especially the latter. Also, contributing factors in my depression.

Mad World whichever version ... when I'm in a depressive episode, the words just.. make so much sense to me.

And Lithium by Nirvana just seems to capture my all around mental state of being.