Quincy, Quezon City, Quito, Queenstown and Quebec City, Qinzhou, Qinyang, Qidong, Quito, Quanzhou, Quetta, Quezon City, Queretaro, Qui Nhon, Quevedo, Qamishli, Queimados, Quilmes, Quilpue, Qarchak, Qazvin, Qianjiang, Quzhou, Qinhuangdao, Qom, Quzhou, Qiqihaer, Qingtongxia, Qingyuan, Qidong, Qujing, Qazvin, Qitaihe, Qingdao.
There are many other, smaller cities that begin with Q. But this is a good start.