In the interest of "less time spent, if acceptable results are achieved = more time to waste doing something else more interesting": I've always polished anodized stuff with Simichrome after washing, and it does a good job unless there's real obvious physical damage; in which case go to "remove anodization and polish with fine-grit wet-or-dry sandpapers and rubbing compound, then polishing compound to flatten and raise the gleam". I have no sophisticated wheels and such, so it's all manual labor.