EK001 has lie-flat seats daily ex Tue. EK005 often has lie-flat seats but if you get unlucky it will have the worst seats of all the EK fleet - the ones with 46" pitch. (In all of the past three days, EK005 operated with the old J seats) EK029/007/003 are not scheduled to have the lie-flat seat but I have seen EK003 with lie-flat seats on occasion.
Cheers,