OK, guys, sorry for some long delay, but here are the pictures of the two fuses that need to be replaces in most cases to fix charging problem:

http://cacko.oesf.org/downloads/fuses/Main protection fuse pic_1.jpg
http://cacko.oesf.org/downloads/fuses/Charging chip fuse pic_2.jpg

Pictures are huge, so I'm only posting links here.

And some explanaition form my friend:

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Main protection fuse F804 (pic_1.jpg) protects the whole board from overvoltage.
Its nominal is 2 A. It gets burned in 95% of cases of overvoltage or wrong AC adapter polarity.

Charging chip fuse F813 (pic_2.jpg). ALWAYS BURNED. Nominal is 0.63 ?

There are other fuses on the board, which may theoreticaly get burned but this has never happened yet.
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Yes, you were right, charging fuse was burned. Main fuse was ok.

Now I gotta find 630mA fuse in 0603 case.

Edit:
Seems that it's quite hard to find fuse from here in Finland. Farnell doesn't supply 630mA fuse in 0603 (1.6x08mm) case, digikey does, but minimum order is 5000 pieces.

Wickman does manufacture those, so I sent email to them, waiting for reply. 0805 (2x.1.25mm) is little bit too big...

maslovsky: Could you do me a favour and ask your friend, where did he buy those fuses, especially that 630mA one. Since I have gone thru almost every electronic store here in Finland, and I could only find that 5000pcs reel

We took them from another dead Zaurus... Even if we bought them it wouldn't help you since we live in Moscow, Russia.

EDIT:
http://www.littlefuse.com/ seems to manufacture almost that kind of fuses (680mA), and they does provide sample orders too.
http://www.koaspeer.com/ also seems to make them. They also have sample order form...

Nataliya, you can find correct fuses from Koaspeers website:
Products -> Circuit Protection -> Thin Film Chip Fuse (TF) -> And there they are, TF16SN0.63 and TF16SN2.00

You can use the link "order samples" directly, and use those part numbers I gave.

I also got my samples from Koa Speers, I ordered them about ten, so please let me know if you need, I have few extra here which I could send.