* 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 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.
* At one point in ''Odd Hours,'' Odd finds himself at the mercy of an evil sheriff and his thugs. How does he escape? By siccing the enraged spirit of Frank Sinatra on them. The entire police station gets trashed in the process.