I'll start by saying this ending sucked, not because of the position the characters ended up in, but because the show was rushed and how we got to the end made no sense.
Jon Snow - got what he wanted. He didn't want to be king, he wanted to roam north of the Wall with Tormund. Him getting sent to the Wall was a ploy to placate the Unsullied. All the Westeros people making that decision knew that Jon was going to live free beyond the Wall with the Wildlings. It was a fitting end point for his character, but would have been much better if instead of being banished he actually was named the King, as was his birthright, and instead he chose to banish himself and turned over the throne to Bran. Earlier in the series there was another Targ at the Wall who had taken the Black instead of going for the Iron Throne. It would have made sense that Jon chose the same path.
Dany - needed to die, and Jon killing her was the only way she could have gone out. What she was saying to Jon in that final scene was actually perfect. She had gone mad. She was full on Mad Queen and that is why Jon did what he did, reluctantly.
Bran - played everybody. He knew all along where this story ended, he pretty much said as much, he may have even manipulated events to get to the throne. I'm not sure yet if he is good or evil.
Sansa - Queen of the North. Well played, but like everyone else has mentioned, why wouldn't the Iron Islands and Dorne want independence too? This is where rushing the story makes no sense. It needs a setup like thousands of northmen at the gates of KL ready for another war. This allows Sansa to get what she wants and could be spun as the reason Jon was kept alive and not immediately killed by Grey Worm.
Arya - going to play explorer. Ok, she never was a lady, so I guess that is fitting.
Brienne - finishing Jaime's chapter in the book scene was probably one of the best scenes of the episode.
The final show was great up until the scene after Jon killed Dany. That is when the crapfest started. That council meeting in the dragon pit was probably the second worse scene in the history of the show next to the small council scene that followed it.
In the end the Stark children rule the continent, Jon is King beyond the Wall, Sansa is Queen of the North, and Bran is King of the 6 Kingdoms of Westeros, which is perfect because there is nobody that can plot against him and try to usurp him since he knows all and can see them scheming before they try anything.