@Cronos:
Ofcourse a faster machine is always better, but that would cost you more money than a Kickstart3.1-chip and a set of WB3.1-disks (17.90 + 9.99 EUR from
Vesalia).
Other than that, for cheap things to do to enhance the A2000 - I would recommend expanding the GVP card to a full 8MB if possible, as 4MB might be a bit on the hairy edge for this kind of ventures. If possible, the memory-modules/chips would most likely be very cheap. Does it happen to be
this card?
Also, if you are intending to use a broadband-connection I assume you will need an Zorro2 ethernet-card for your A2000. Either you find an old one on Ebay or similar or you buy a new X-Surf3 from for example Vesalia - it costs 99.99 EUR. Those Zorro2-cards will work in A2000, A3000, A4000 and A1200Towers that has a Zorro2-expansion.
Do keep in mind that whatever Amiga you get, it is not an ideal platform for browsing the web. In all cases simply because the browsers doesn't have the features to be able to render many pages correctly.
Also, the advices about 060 and graphics-cards, pci etc etc given by other forum members was because image-decoding won't be very fast if you don't have a fast accelerator and the graphics wont look that good or scroll very well if you don't have a graphics card.
So it all depends on what you set your mind on - if you just are looking for having some fun and see what that old A2000 can do on the web - do that. Or if you want to get a faster/better Amiga to see what it can manage - do that.
/Patrik