Intriguing

The core strategy of this deck is to destroy your opponent's hand with intrigue, whilst neutralising the board with help from tears, milk, and treachery.
PLOT CHOICES
A Game of Thrones: often gives you a turn where your opponent can't make any challenges. You will usually want to go second on this plot.
A Noble Cause: lots of gold, pretty simple. If you know/think your opponent plays naval superiority be careful playing this. This is my usual turn 1 plot.
Calm Over Westeros: lots of gold and prevents the challenge you're weakest too. I usually play this early (often turn 2) to set up board control.
Confiscation: very useful utility plot; get rid of your opponent's nasty weapon or a milk from your guy
Marched to the Wall: this plot punishes a board of big guys; I will often play this after a wildfire if they don't marshal chumps
Wildfire Assault: pretty straight forwards, a board equaliser. You should be able to recover after this better than your opponent because you have been discarding his hand!
The Winds of Winter: nothing fancy; straight forwards claim 2 plot; use when you've got board control and great if you've got an Olenna's informant in hand
OTHER PLOTS OPTIONS
Counting Coppers: if you think you need more card draw
Filthy Accusations: useful for getting through a big guy and getting unopposed challenges
Naval Superiority: great counter to a few plots (like noble cause), but really sucks if it misses
Power Behind the Throne: really good with cersei, jaime, casterly rock, and olenna's informant