According to an article at MacFixit:
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EXC_BAD_ACCESS/KERN_PROTECTION_FAILURE — This is caused by the thread trying to write to read-only memory. This is always caused by a data access.
Which sort of explains the what, but not the why...
Anyway, this thread suggests using Onyx, with specific instructions:
http://forums.macrumors.com/showthread.php?t=626260
For the record, when apps quit unexpectedly, I usually get that message. I don't have a lot of consistently quitting apps though (touch wood) - if I ever do, usually deleting .plist files has done the trick.
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plist are preférence files like in OS9...?
Deleting them force to re set prefrences in all applications..?
Yes and yes. 
The "p" in plist stands for 'preference,' so a "plist" is a preference list for any app. You can usually find them in your user folder/Library/Preferences, usually with the developers or the applications name in the file name and a suffix of ".plist"
Moving one of these files out of where ever it is will force the application to create a new one with default values for everything. Therefore, you will lose any changes you may have made to those preferences. But if this operation makes the application stop crashing, it is well worth the meager effort. If moving the file does not help matters, it is easy to put the original file back where it came from and restore any special settings you might have made. Of course, if an application continues to crash, the problem is still to be determined.
Sometimes developers let an error get by them (even Apple!) and they make an update to correct them. It's always a good idea to allow any good application to use its automatic update alerting system, if it has one. The problems you might be having may have been addressed by a recent update that you didn't know about.
In other words, bad code - something corrupted, something badly written or something conflicting.
For me, it mostly happens while I'm viewing a document in Acrobat 7.07 Professional. Not editing or anything, just viewing. I'm on my second hard drive (meaning I've installed a fresh copy of Acrobat) and it still does it. I haven't read anything about Acrobat having bad code or conflicts (my pfiles are fine).
Rom for aty rage 128 is too old (oxb6246948)...is this a source of problem ? is it updatable?
This most likely just telling you that your video card will not support Quartz Extreme. My 9600 video card doesn't either but it still works just fine.
Go into the System Profiler and get the info on your video card. You can see if there are newer drivers for it but I sincerely doubt it. Also be careful you don't try to install drivers that are for a retail card versus the original Apple installed card.
Is this the DA? There are newer cards you can get for it. I bought a 64MB Radeon a few years ago for my DA and it does fine. Not all that expensive either. Higher MB cards are available of course but also more money. 
Hope your Mac stays stable.
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"SH" always shows up in any activity window I have open
Maybe you've just got your sound muted.

Only way I can get it is to run Terminal and enter "sh" at the prompt. Here's what the BASH MAN page mentions about "sh":QUOTE
If bash is invoked with the name sh, it tries to mimic the startup behavior of historical versions of sh as closely as possible, while conforming to the POSIX standard as well. When invoked as an interactive login shell, or a non-interactive shell with the --login option, it first attempts to read and execute commands from /etc/profile and ~/.profile, in that order. The --noprofile option may be used to inhibit this behavior. When invoked as an interactive shell with the name sh, bash looks for the variable ENV, expands its value if it is defined, and uses the expanded value as the name of a file to read and execute. Since a shell invoked as sh does not attempt to read and execute commands from any other startup files, the --rcfile option has no effect. A non-interactive shell invoked with the name sh does not attempt to read any other startup files. When invoked as sh, bash enters posix mode after the startup files are read.
There's more, but I have a knot on my forehead caused by falling onto my keyboard when I fell asleep! Ouch!
I did notice that "sh" went away from my Activity Monitor when I exited Terminal. Do you maybe have Terminal running in the background? Or some unix script that requires "sh?" I was just thinking "sh" was a basic 'shell' system used to talk to the machine...
Is this the DA? There are newer cards you can get for it. I bought a 64MB Radeon a few years ago for my DA and it does fine. Not all that expensive either. Higher MB cards are available of course but also more money.

Yes it's the DA...
Is there a specific one to buy, what will be the improvements...?
Thanks
GR
You will get much better response with windows opening, playing video and some of the special effects that X uses (like smooth screen savers) and generally faster experience since the card will take over some of the work that the system software usually does.
http://support.apple.com/kb/HT1582
I have a Radeon 8500 (AGP) which has 64MB. It probably can only be found used these days but I saw one on ebay (US $59) recently. There are other possibilities but it depends on how much you want to spend. I've found my card to be just fine but I suppose more MBs would be even better. It is Quartz Extreme capable but not Core Image.
This link talks about some choices but be aware that some of the cards don't boot OS 9 if that is important to you. Also note that the AGP cards will be faster in general but the PCI cards may be more available.
http://groups.google.com/group/comp.sys.ma...0d8115e8e8ee0e8
Note the mention that DAs are not OS 9 compatible unless you play around with card placement. This is a PCI card though which is not as desirable as an AGP card if you can find one for a decent price.
http://eshop.macsales.com/item/ATI%20Technologies/100436014/
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Is it safe Re installing combo 10.4.11 updater
Many find iy safer than using the Software Update, incremental files. I think the basic advantage is that is has all the latest updates to all the OS internals, from security updates to tweaks of other minor stuff, but it's all in one package. The disadvantage, of course, is that is is a larger package; longer download times. Many Mac User Groups create a CD/DVD containing these updaters as incentives to join or as items for bringing in funds. Are there any User Groups near you?
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can find it on Apple download..?
There are actually two versions, the one you need should be the PPC version, I think. <http://support.apple.com/downloads/Mac_OS_X_10_4_11_Combo_Update__PPC_>
Be sure to run Software Update after this, however, since there have been updates to many of Apple's apps like Mail, iTunes, QuickTime, etc. that you may now make use of. These updates simply were not around when the 10.4.11 Updater was created.