Gurren Lagann inverts this. The villains are stoic and depressed. The heroes are Hot-Blooded. That is a very understated way of saying it.
In Naruto, it is later revealed that the Kyuubi (Nine-Tails) gains his power from Naruto's hatred and despair. Or rather, those emotions make it easier for him to take control. Even later, it's revealed that strong emotions are the "curse" of the Uchiha clan, and that feeling strong emotions, then suddenly losing them, is what creates the Sharingan.
X-Men: Several Face Heel Turns are caused by emotional overload throughout the series—but the most shining example is the Dark Phoenix. This is the explanation for Dark Phoenix—the result of the Hellfire Club feeding decadent and hedonistic desires to the Phoenix Force.
A frequent theme in the Green Lantern mythos. Especially when the Guardians became despotic and started condemning emotions and the other Lantern Corps turned up as Foils. Essentially, the Green Lanterns are in the "center" of the light spectrum (Willpower) and so they're the most stoic. Red Lanterns and Star Sapphires represent Rage and Love, specifically, and since their colors are on the far ends, their emotions control them. The more powerful the emotion, the more it controls the Lantern.
Star Wars, of course. The Light and Dark sides of the force tend to play this trope completely straight, although how true this plays out is a case of Depending on the Writer. According to several sources (including George Lucas himself), the Light Side is not merely dull apathy and cold indifference; it's supposed to be all positive synergy and symbiosis that makes the galaxy a better place. Things like love, romance, friendship, and peaceful ambitions are supposed to embody the Light Side just as much as hatred, lust, competition, and violence embody the Dark. This is not how it plays out, normally.
Inverted in The World's End. The Blanks and humans who have been subjugated by them tend to be Stepford Smilers; not emotionless, per se, but certainly not passionate. Whereas the protagonists are (at least by the end), very passionate, especially Gary King, who verges on manic.
In many religions, Angels, or an equivalent good side, embody purity and self-restraint, while Demons, or equivalent evil side, embody sexual, violent, and greedy desires.
In Buddhism, "Dukkha" (suffering) is directly linked to passions such as greed, physical lust and anger. One of the Four Noble Truths is to recognize these as the causes of suffering and take proper action (meditation, moderation, and moral behavior) to correct them.
In the Street Fighter universe, the Dark Hadou (or Satsui no Hadou in original Japanese) is the surge of violent emotion that drives the nameless martial art used by Ryu, Ken, Akuma, Dan and Gouken. The more fiercely and passionately one fights, the easier it is to become lost to the Satsui no Hadou. According to some sources, merely attempting to use the Raging Demon (Shun Goku Satsu) forever alters the personality of the user and drives them insane. Akuma is the first and only known person to use it and remain some lucidity (although not completely unchanged).
In the EverQuest series, each god rules over a different physical or emotional domain, and all are clearly defined as Good, Evil, or Neutral. Among the evil gods are Cazic Thule and his daughter Terris Thule, who controls fear and nightmares, and Tholux Paells, the Demi-god of Lust. Among the good gods are Erollisi Marr is the goddess of Love and Quellious the god of Peace and Tranquility. An interesting note is that the extremely evil Rallos Zek, god of War, created Sullon Zek, Demi-goddess of rage and anger. Sullon herself and her domain are considered neutral.
In The Elder Scrolls series, you have deities called the Aedra and Daedra. The Aedra represent aspects such as Time, Life, Beauty, Commerce and Air—all natural things which have little to do with emotions. The Daedra, however, represent things like Deceit, Desires, Knowledge, Competition, The Spurned, Ambition, Manipulation, Madness, Domination, etc—or things sparked or perpetuated by emotions.