I think that I'd like to keep the option to play AGA games; I've got a few on disk already.
Seems like that is core to your decision.
If you want AGA and you aren't interested in a "power Workbench" experience, then the best option is going to be an Amiga 1200 with some FAST RAM.
That gives you the ability to play virtually any Amiga game using WHDLoad.
Yeah, you could get an accelerator but that will only help with a handful of games (FPS mostly), which can be great, but don't really define the Amiga experience...
If I were you, I'd start looking for an A1200 (it can take a bit, but they show up from time to time).
With the new ACA1220 coming out, you can get GOBS of FAST RAM (more than you need to play games, but it's looking to be very cost effective).
Then you're only real issue is a display.
If you want to play PAL games, you'll need a 1084s or other monitor that will sync down, or a scan doubler of some kind.
You can get a basic scan doubler (GBS8200/8220 or similar) fairly cheap and you just need a cable.
Of course, you can get really great scan doublers, like the Indivisions, but if you're just looking to play games, you probably don't need that...
On the other hand, if you don't need AGA, I'd look for an Amiga 500.
If you don't need/want floppies (for the original experience) then an HXC SD floppy emulator is great.
Good luck..
desiv