Penney's has a line called Havana something or other. They look identical to Charlie's shirts. And they are made of the nicest materials and feel so nice. For a bit more bucks get Tommy Bahamas. Some of their shirts have a similar look.
Thanks for all of your replies and RUDisney, thanks for the website. Those are the ones, you're right, they are like bowling shirts. They do look really casual and comfy, too.