Browsing the Net with the Amiga is indeed bad these days, for everything else (ftp/irc/mail etc)it works fine.
The solution i use for it is to make a remote desktop connection to my PC put it in window mode (640*480*16 so it fits nicely on my 1152*900*16 wb screen) set browser (firefox) to max screen size and there you go firefox on your miggy, well not really :-D ,
this works fine on a blizzard ppc with 68040/25Mhz+603e 204Mhz ppc and 128MB ram.
The speed is good even on full screen, you will need a gfx card though (i have a Bvision ppc gfx card)
For file transfer between PC<=>Amiga i use ftp mount wich let you use every ftp server as a drive mapping and you can stream mpeg/mp3 etc file's on your Amiga trough ftp
I also ran my heavy os3.9 config on a csppc with 060/60Mhz+233 604e ppc+cvision ppc+scsi (and i used every hack&patch known and all together and working suprisingly)
and worked superb fast!
And i never had the intention to sit behind my PC directly since that time :-D
But to get the most out of your Amiga experience these days
something faster then a 030 (040/40 or 060/50 are way faster) or a ppc card+gfx card would most certeinly give you much,much more speed and everyday use for your miggy.
also so scsi will do a LOT together with a file system like SFS or PFS (young 40 GB scsi 3 uw 10k rpm drives are cheap 2nd hand these days, bought mine for 50 euro's 1 year old)
The disadvantage is that you have to tower your miggy....
