No. Absolutely no modding or hacking is necessary to run Blu-Play games. Your console was designed for this!
(There is an advantage in owning a jailbroken PS3 though, because it lets you run Blu-Play games from harddisk, which means you don't need to burn a disc. But that is not related specifically to Blu-Play).
In short: All platforms that feature a Blu-ray player. See Platforms for a detailed overview.
You download the ISO, burn it to a BD-R or BD-RE and pop it in the discdrive.
If your PlayStation is rooted, you can also simply copy the ISO to the harddisk and mount it with webMAN or multiMAN from the BDISO folder.
You download the ISO, burn it to a DVD or BD-R or BD-RE and pop it in the discdrive.