hmmm more of a dream than actual reality but it would need to be;
Ful classic compatible (add-on card with OCS/ECS/AGA chipset onboard capable and able to switch between either for full compatibility)
68060/68030/68040/68020/68000 for above... we could stick the lot on a full size Zorro board...
(I bet it would fit too!)
Main board would be able to run OS4 for using Internet and what have you...
HAS to be computer in a keyboard otherwise it's just another PC.
EDIT: Is Gilgamesh a character from Startrek TNG? Sure I've heard that name before!