@EverBlue: that list is terribly outdated!
On the Minimig V1.1 board, it's very VERY hard to find a single game that doesn't work these days. Boing4000, Mmrobinsonb5, Chaos... these guys at the minimig.net forum have fixed most incompatibilities by now. I think the only game that doesn't behave as intended is some obscure Asterix game because it uses the mouse in a strange way.
I have hundreds of Amiga games on the Minimig V1.1 board (Whdload versions, who cares about slow ADFs anymore??) and they all work.
I'd say compatibility is more or less the same on the DE1 board (TG68 68000 softcore) if you use Chaos's latest testing core, but I haven't tested it so hard as the Minimig V1.1, wich is my main Amiga these days.
I believe MikeJ incorporates every Chaos's CPU fix to the unreleased new core, so we can expect a similar compatibility. Correct me if I'm wrong, Mike.