Pretty much all of the MLB stuff (except for playoffs) is cable only. NFL will at least of the either Monday or Thursday game along with your local on Sunday.
http://m.mlb.com/postseason-schedule
OTA FOX only gets one or two playoffs games and the World Series.
In previous years it was possible to watch most of the games online via "live alternative video feeds (excluding the broadcast feed)", and now even that is not allowed.
Check out all the disclaimers and fine print here
http://mlb.mlb.com/mlb/subscriptions/index.jsp?&affiliateId=...