According to a quick google, DOOM II requires 256 colours and 68LC040 above your setup.
http://www.allgame.com/game.php?id=532&tab=sysreqs
But you can always try the Shareware MacDoom in the non-DOS section: http://www.doomworld.com/classicdoom/info/shareware.php
Apparently Ultimate DOOM requires PPC and colour http://www.allgame.com/game.php?id=13644&tab=sysreqs
http://www.allgame.com/game.php?id=532&tab=sysreqs
But you can always try the Shareware MacDoom in the non-DOS section: http://www.doomworld.com/classicdoom/info/shareware.php
Apparently Ultimate DOOM requires PPC and colour http://www.allgame.com/game.php?id=13644&tab=sysreqs