ooh what I'd do...
I'd get someone to design an ARM-based motherboard, flex-ATX compatible, and a stylish Amiga HTPC case. The motherboard would have Amiga AGA graphics instead of VGA textmode, so it can be used by the BIOS. It would also have a Nvidia GPU as well. I'd tailor a version of AROS that can run Linux software too (there was another thread about that somewhere I remember). I'd put a mini Kickstart OS in Flash ROM that can play DVDs and audio CDs etc.. and you'd be able to boot games straight from disk without having to install them.
It would essentially be a moderately upgradeable console/HTPC with an OS so you can also do office things and browse the internet. Legacy software would have to be run through an emulator, however, but modern software doesn't tend to be written in ASM anymore except in special applications so I don't think 680x0 is such the defining feature that it once was. The emulator would be in the Kickstart ROM so you could run old Amiga games without worrying. ARM is up and coming, however, and is set to take over the laptop, desktop and server markets sometime soon.
Actually one thing I was thinking about lately, we're thinking about getting an Xbox developer kit, it set me wondering if you could port AROS to run on Xbox 360 as a user-mode application.