There are lots of diving events going on in and around Taiwan all year long. Obviously more in the summer months as people want to get out and enjoy the weather and warmer waters.
A good place to start looking is in our events section, we try to post info about new trips going on as we learn about them. If not there keep an eye on the whats on this weekend thread, hopefully more will start posting as time goes on.
Late summer is good diving pretty much everywhere around the island. Even up north the water temp will be reaching about 29C.. If you get chance visit XiaoLiuQiu for a weekend to see the green turtles. Longer weekends it is great to get over to green island where you will get awesome visibility of over 40M.
Kenting is also a great destination in late summer for a normal weekend. Fairly easy to get to from anywhere in Taiwan and you can easily get 6 dives in.