Actually an AGA machine is the best machine to get for games
Without dedicated patching like WHDload and JST I'd disagree.
The alternative back when these two methods didn't exist was degrader boot disks (that only sometimes worked), or a backup A500 in the corner.
Truth is, the majority of Amiga software was written for a plain old 1Meg A500, the A1200 never had anywhere near as much software support. The software variety, (post A1200) only deminishes from there.
In anycase, having both an A1200 and an A500 is essential if your into Amiga for games and just want to play without having to frick around with patches too much.
Form me, my A500 and A1200 ended up taking up too much space and miagrated into storage for a well earned rest. Eventually, I sold the lot to someone who would enjoy them more.
---
To get my Amiga-nostalgia (sounds like a disease!) fix, I have a little 1Gig HTPC I built here, dedicated to VIVO, DVDs, MP3s and Emulators that actually surpasses the experience I had with my real Amiga, and it runs all sorts of arcade greats too.
Currently, I have it wired to a 5.6" LCD-joypad, so it almost has the feel of a -handheld- Amiga/NeoGeo/Mame-box.
My next project will be nano-ITX...
...for -real- handheld fun!