The second opening, "Out of Control", and the second ending, "All Alone With You", do a good job at just being depressing. Which is awesome in its own sort of way, considering the show's general mood and setting. To make it even better, both endings are performed by EGOIST, the musical project by Ryo of Supercell fame and lead vocalist Chelly.
Ling Tosite Sigure and EGOIST did the opening for the stage play, Virtue and Vice with the absolute rocking "laser beamer", so titled because TK can play his electric guitar to emulate the sound of a laser beam.
The show's main action theme, "Psycho-Pass", and its 2nd season remix, two extremely badass peaces that set the tone for the anime wonderfully. Its 3rd season theme more than makes up for it, being distinct in its own right while also paying tribute to the iconic Psycho-Pass theme we all know and love.
"Sibyl System", a rocking orchestral-electro theme that allows for the character's most awesome moments to truly shine.
"Dominator" brilliantly combines acoustic guitar with some epic percussion that is slick and badass.
"Cymatic Scan" from S2, a downtempo piece that beautifully displays the most emotional moments of the season.
Inochi no Arikata, a touching instrumental piece marking the end of the first season that managed to be both sad and hopeful at the same time.
Even though Ling Toshite Sigure and EGOIST didn't came back for Season 3, Who-ya Extended's Q-vism and Cö shu Nie's bullet really make it up for the opening and ending themes respectively with high energy, rocking instrumentals, and lyrics that perfectly illustrate what the world of Psycho-Pass is.
, and the second ending, "All Alone With You"