Is there a typo in your question? It looks like you want the following to be returned, unless I have misunderstood:
ID Stat StatDate
1 AppRec 2012-12-01
1 AppCom 2012-12-02
If so, this will do it:
SELECT ID, Stat, StatDate
FROM Apps
WHERE ID IN (SELECT ID FROM Apps WHERE Stat = 'AppRec' AND StatDate >= '2012-12-01')