Hi Darkage, welcome back into the Amiga world. I use my A1200 with 8MB Fast RAM/FPU with internal CF card and PCMCIA ethernet adapter every day. I browse the web, chat on MSN and IRC, use plenty of productivity software, code, and play games. As the others mentioned, WHDLoad fixes nearly all those old floppy and incompatibility problems, so just about every game runs from my hard drive (CF card) now. If these are the sorts of things you'd like to do, you may not even need to shell out for an expensive 030 card. The 020 in the A1200 is fine for general use and games provided you have some extra Fast RAM. Of course, if you want to browse multiple sites in tabs while having all your chat programs, email, Twitter, online games and things open at the same time, you might want the 030.
There's also the option of a CD32 with a SX-1 or SX32 module, which adds 8MB RAM to the CD32, as well as all the standard Amiga ports so you can turn it into a full computer. DOOM runs smoother on a CD32 with 8MB Fast RAM than it does on an A1200 with 8MB Fast RAM, I've run benchmark tests that confirm it! The Akiko chip in the CD32 really helps out with Chunky to Planar conversion for 3D games.
Where abouts are you from? Maybe if you live close to someone with an A1200 they can give you a demonstration. I wanted one ever since the first time I used one, and I already had the CD32 :p