Unfortunately, Wizards hasn't released any season of Encounters for use outside of the program, most likely as an incentive for players to participate at their FLGS and a reward for those who DM.
However, there are still some other options. If your children are a bit younger, I would recommend trying The Heroes of Hesiod
. If they're older, then obviously you can start with something like Keep on the Shadowfell
, Khyber's Harvest
, Bloodsand Arena
or the Kobold Hall adventure from the back of the Dungeon Master's Guide, which you can get in a nice, properly-scaled map
thanks to NewbieDM. Or, if you have particularly imaginative/creative/zany kids (think Axe Cop
), then perhaps Gamma World might be a good fit for you. And if you've purchased some of the Essentials products (Red Box and Dungeon Master's Kit), there's an adventure line presented in the introduction to this article
, although some are solo adventures and will need some adjustment for multiple players.
There are also plenty of pre-gens
floating around in case you'd like to save character creation for a later point in time.
(Please note that Season 3 characters have some errors/omissions and Red Box characters will need to be converted
for continued play)