Morphos -> Pegasos only (maybe a Mos on Mac kinda idea in the future if I remember Bill Buck correctly). Tho MOS can be made to run on an AmigaONE I don't think anybody outside the MOS development team has done/seen that.
A version for the classic Amiga (with PPC card) line might still be possible tho I believe the decided against that not so long ago..
AmigaOS4 -> AmigaONE and classic Amiga (with PPC card). Definatly no version for the Pegasos (Pegasos 2 is I think definatly a no go (different chip set) Pegasos 1 is rather alike the AmigaONE so people could hack it I guess). Don't hold your breath for a Mac version..
Both boards can run Linux, but I think the Peg is able to run more different kinds of Linux. IIRC a BeOS version was to be made for the Pegasos as wel, but I haven't read anything about that in a log time..