Playing as Joffrey on Ironman recently I had to contend with a Renly/Margaery and Stannis team up, a Dany/Aegon and Illyrio Invasion, a claim revolt by Mya Stone, and a Dornish Independence war.
All of which broke out in the first six months. It was frickin' insane.
Fortunately the various people baying for my blood kept fighting each other, which let me and Grandpa Tywin whittle them down. Dorne broke free, but I won all the other wars, whereupon I was immediately murdered by Lancel, which I confess came out of left field.
Tommen, being a nice lad, released all of Joff's prisoners and ruled fairly peacefully until he died in a duel with a peasant rebel at age 16.
I'm Myrcella now, married to Daven and watching with mild interest as Queen Dany of Pentos conquers the Free Cities with the aid of her loyal bannerman, Stannis Baratheon.