I treat my fish like any other pet. If I have a dog or a cat to die, I wouldn't just throw it away, I would bury them. I do the same for my fish.
There are exceptions though. If it died within a week, I put it in a plastic bag, march down to the LFS, and whine until they finally do something about selling me a bad fish... that's happened a lot with freshwater fish. Especially my precious goldfish. When I go to Heaven, God will have a huge fish tank in my room with tons of little black moors...
Anr they will all be named "Hoover" because when one died I renamed it the same since it didn't live long enough in my tank for me to get attached. I finally bought a black moor that was hardy. Too bad his name is Tubby instead. He's 3 years old now.