@Tomas
My A500 has a 33 Mhz 020, 8Mb Fast RAM, 2Mb chip, 3.0 ROMs and my new HD is 5400 RPM 2.5" 40Gb. The dying HD is 4200 RPM 2.5" 20 Gb.
When I first tried 115200 (PC to Amiga), I had my 16 colour WB in the foreground and still surprisingly had no problems. It was exactly 8x faster and none of the files were corrupt. To be safe, I now flip to a lower colour screen while copying. I copied about 500Mb now.
Copying from dying HD to PC, I have started getting "Unable to read from COM port" type errors in Windows. Changing screenmode to lower colours has no effect. I just have to keep trying and eventually it goes. When I copy the files back to my new HD, I have absolutely no problem.
I was hoping I would be able to use the new 115200 dial up internet we have here, but I just tested 57600 with IBrowse and it goes super slow. Flipping to a low colour screen causes it to go fast again, but I can hardly browse web pages from a 2 colour screen. Oh well, I appear to have hit the limit with my A500. ;-)