Depeche Mode-ical
Something that falls short of irony, but fits nicely for all the phenomena people usually assign to the word irony. Means bad luck, "a horrible coincidence", "the stupidity of man", "the mean-spiritedness of whomever's in charge of the universe." Refering to the lyrics of the Depeche Mode song, "Blasphemous Rumours".
Rain on your wedding day, a free ride when you've already paid, and good advice that you just didn't take are not examples of irony, but those things are definitely Depeche Mode-ical.