You should be able to play Flash files with FF, Opera, Epiphany, etc. You just need to install the Macromedia Flash on your system and the plugins for the browser.
However, as stated above somewhere, Shockwave is a TOTALLY different animal than Flash... apples and oranges. Linux does not have Shockwave capabilities at this time. You'll have to run Shockwave files with an emulator of some type while in Linux.
How ever things work out for you... best of luck. And remember to HAVE FUN while you're doing it!