Complain, kvetch, whine, moan. Most often used in gerund form, i.e., whingeing. Interestingly, in U.S., spelling is frequently given as whing and whinging, which, sensibly (as the first g is soft, as in fringe), have not been common in U.K. in recent decades.
… money alone won’t do it [produce happiness]. Listen to the poor rich lottery winners whingeing away. (The word whinge, as used in my poker game, is a whine from a winner.) (Walter Goodman, New York Times, April 15, 1996)/And as much as I adore Sheldon’s persnickety nature, watching him devolve into a whingeing man-child, bitching about his mother not making him fried chicken or pecan pie, kept what had the potential to be a top-flight episode from ever taking off. (Entertainment Weekly, “Big Bang Theory Recap,” October 20, 2011)