Additional field in profile
I doubt this will get implemented because it's taboo, but I think it would be invaluable. Could we add an optional field in each user's profile to hold that jumper's last wishes? This would provide the BASE community with some etiquette guidelines in case of serious injury or death.
This could be implemented in two ways. It could be world-readable even before the jumper's death. Or it could remain hidden until the jumper's death is confirmed by a moderator. I like option 1 more.
It would be nice to be able to leave contact information (the address/phone number/e-mail of a friend/relative), and to have a moderator deliver a copy of the last wishes to that person after the death is confirmed. It would also be nice to have a checkbox that allows the jumper to opt out of the BFL, or to request that his/her (picture, full name, etc.) not be included in the BFL.
An example:
For clarification, the below are my actual last wishes. I don't plan on going in any time soon, but if it ever happens, hopefully someone will dig up this thread and post it in the incidents forum.
Wow!!! If you're reading this, I'm probably dead. Sucks for me.
But hey, don't worry about it, I knew it would happen sooner or later. Of course, I'd been hoping for "later", but I had a great run up to this point. My life turned out better than I ever expected, and I have absolutely no regrets!
Now, you might be thinking to yourself "oh my God, this is terrible, this is a tragedy, blah blah blah". So what? I sure as hell don't care about being dead. At the very least, it makes life a whole lot simpler for me!!!
No more waking up early on a Monday morning. No more taxes. No more laundry. No more dishes. No more angry mistresses. No more suit and tie. And most importantly, I'll never have to shave again! 
Now, I have no idea what did me in, but I'm guessing you know. Maybe I died of old age (okay, okay, I don't believe that one either). Maybe I got sick. Maybe I did something stupid. Maybe I *gasp* died BASE jumping. If I died from doing something dumb, grill me for it. Make fun of me. Laugh about it. For my sake, I hope it was something REALLY crazy, like BASE jumping naked into an aquarium filled with sharks with frikkin' laser beams on their heads while secret service snipers try to pick me out of the air for having put a video on YouTube of myself getting it on with the President's daughter. I think that'd be a pretty damned good way to be remembered.
After all, there are a lot of dumb things I've done in the past that could easily have killed me. Had one of those acts been my undoing, I'd hope people would have called me out on every single idiotic thing I did (hopefully while consuming large quantities of alcohol and partying in my memory). I look forward to the roast!!!
There are, however, a few technical details I should probably clarify for you, seeing as I'm dead and all:
1) Try not to grieve. Try not to be sad. Try not to view this as a tragedy. I don't. And life is too short for regrets.
2) To my family and close friends: Don't feel obligated to spend a lot of money on saying goodbye to me. Don't feel obligated to give me an ornate funeral. I never was a fan of ceremony anyway.
Spend whatever you feel you need to spend to help yourself say goodbye, but don't feel like you owe me any kind of tribute. My life was my tribute. A casket is just a really expensive box.
If you want a funeral, give me a funeral. If you're cool with cremation, so am I. I recommend doing the cheapest cremation you can, and then using the money saved to do something amazingly cool in your life. Hopefully something you never expected to do. Take a cruise around southeast Asia. Climb Mount Everest. Go backpacking in Tibet, or spelunking in Mexico. Throw a party and invite all my friends! Get them all drunk and see how many you can get to streak through downtown at 4 o'clock in the afternoon. I want to see dozens of white asses running down Main Street!!!
Whatever you do, it's your call. Make it something worthwhile.
3) To the BASE jumping community: Thanks for all the adventures and the memories. I've had the time of my life. Keep having fun, and please don't use my departure as a cause for increased regulation. Don't try to look for someone else's guilt or negligence in my death. If I took an eight-second delay off a 150 meter wall that my friend said was at least 300 meters, don't blame him for it. It's my own fault for not checking myself. If anything, take my death as a reminder of the value of life. Keep living yours while you still can.
Feel free to put me on the BFL. Feel free to nominate me for a Darwin award if so deserved. Take your best shot - no holds barred.
Feel free to come piss on my grave if you want. Actually, I dare you to do it! I already know one jumper who's promised to come piss on my grave if I ever go in, and I hope he goes through with his promise.
4) If my death was the result of someone else's mistake or negligence, don't go looking to blame anyone but me. I take full responsibility for my actions, and don't blame anyone for my death except for me. I understood the risks involved, and the decision was mine.
If my death was the result of malicious intent or gross negligence by a third party, do not seek to punish the person responsible. You may, however, take steps to make sure that person doesn't harm anyone else. If I was run down by a drunk driver, take away that driver's license for a few years. If someone loaned me a rig and forgot to attach the risers, make sure he/she will in the future only pack for himself/herself. If someone intentionally cut my risers (an act that would be considered murder), put him/her in jail (5 years to life sounds about right; the more likely that person is to murder again, the longer the sentence). But take only reasonable steps that substantially lower the risk of someone else being hurt; I have no interest in the guilty party being punished, and neither should you.
5) If my death caused difficulty, damage, injury, or death: I hope this isn't the case, but if it is I'm sorry for any damage I caused.
Please see to it that the disenfranchised parties are made whole to the greatest extent possible. Please make sure any rescue/extraction costs are paid from out of my pocket, and that any property damage or medical bills I caused are paid for by me.
Lastly, enjoy life...you never know how much of it you have left.