The actual Flash and jre don't work on 64 bit, but some people have tried to make other programs that can have the same function. I have swfdec
for flash and Blackdown
for java. They mostly work but have some problems. For instance for me it shows flash animations, but if it's something to interact with then it usually doesn't work.
I've also heard people setup a chroot to run a 32 bit environment for some applications like firefox. I haven't had a chance to try it out myself, but some instructions are here
. Note that those are for ubuntu, so some things may be a bit different.