* His taking down the satanists in the first book. It's three to one; they have automatics, and he starts out with a baseball bat (and the element of surprise)... He wins.
* Both from the fourth volume: Odd singlehandedly [[spoiler:hijacking a tugboat intended to ship nuclear devices into the United States]], and... well, see BewareTheNiceOnes.
* Odd's HeroicSecondWind in "Odd Apocalypse" after being on the receiving end of a NoHoldsBarredBeatdown.