Hell yeah!
I'm on my second A500 and my second A1200.
The Access and the AmigaOne are still my original ones, though :-)
Of course an A3000 or an A4000 (forget the A2000, it might seem nice but there's too little you can do with it compared to the newer Amigas, e.g. PCI, PPC etc). is more professional, but I've never owned one. My A1200 has PCI and manages 1600x1200, 60Hz 32bit Workbench. Bit slow refresh due to old 21" screen and non-overclocked Voodoo 3 (would need to overclock somewhat AND buy a new screen to go much above 60Hz at that resolution, I think).
There's a lot of fun to be had with a stock A1200 as well, which is why I tried to get my old one operational again this week. So far, no luck :-(
However, I have an Access board that provides me with the fun I need from Aga games. And an A500 for oldies ;-)