Also, I don't have any specific software in mind. I just want to be able to browse the web/telnet/IRC/E-Mail/etc and multitask more comfortably, and pimp out my workbench.
In the interest of full disclosure I should warn you that you can absolutely forget about "comfortably browsing the web" with any 030 CPU. The 030 is really really slow at processing data and decoding jpgs. Webpages take foreeeeeeever to display. Its no fun at all.
Remember the L1 cache on an 030 is soooooooo tiny that for many purposes it does not have any.
You really need an 060 to comfortably browse the web.
The other things on your list use a lot less CPU power and you might be happy with them on an 030 but but but.... you need to keep in mind that Amiga software for doing those things is megafantastically fancy. Much fancier than lame Windows XP software. The GUIs are superduper professional and you can customize every last little thing better than any Windows 7 program I have ever seen in my life. But all that fanciness eats CPU cycles. 68030 cpus take 2 to 4 cycles to execute common instructions while 68060 cpus take 0.5 to 1 cycles to execute those same instructions.
Those hyperprofessional fancy MUI GUIs may feel laggy on your 030. Just a fair warning.
And things like unzipping or unlhaing files will be quite slow on 030. A 33 Mhz 040 is fully 3x as fast at uncompressing files as a 33Mhz 030. An 060 is faster still. Remember 030 does not have jack for cache. And the cache that the 030 has is the really primitive 1980s cache. 68040 has 1990 technology cache called "copyback cache". It provides a giant speedboost for code written in C (which is most Amiga software).
Good luck and I hope you enjoy your Amiga experience, especially IRC with AmIRC and/or WookieChat.