Recently, he and his family moved to a house on the same street as me, and now our children play together almost every day.In that context, the Modern English rule is,
as + object
Ex: ... moved to a house on the same street as me.
as + (that) + subject + verbThe traditional rule:
Ex: ... moved to a house on the same street (that) I live on.
as + subject
as + subject + verb



