PUG raids run most of the day on weekends but usually only in the evening during the week. The earlier raids on weekends are usually t1/w1 types with T3 waiting until prime time. I'm not on at oceanic (Australia & NZ) time so there may or may not be another surge of activity then.
Minigames run pretty regularly on Set at prime time, although I think it's largely the same people every day. I don't particularly like pvp so I can't comment on the quality.