Bran the climber to Bran the broken to Bran King of the Six Kingdoms, Bran, as Tyrion mentions in the last episode of the HBO hit Game of Thrones, had quite the story. However, just because his adventures were crazy, doesn't mean they were all satisfying, or made sense overall.
Part of the insanity about Bran rising to be King of Westeros is that so much of his story doesn't really connect or lead to the Iron Throne. The only reason he ends up there is destiny, not free will. The boy has very little control over his own life, ever. And yet, there are many times the actions he does take make no sense at all.
That He Can See The Future
Bran's ability (once he comes into his Three Eyed Raven powers, that is) to see the future doesn't make much sense. While it is made clear on Game of Thrones that Bran can step into the past, seeing both his father's life is a child and the birth of his own cousin Jon/Aegon, his abilities to step into the future don't hold up as well. The fact that he can jump around in time is clearly implied, but if he can see the future, and he doesn't really do anything to assist or save any lives during the Long Night, that's a strange power to give someone who won't use it.
That He Can Time Travel
It was established that, at the very least, Bran can see the past. What doesn't make as much sense is the fact that he can stand in the past and have an effect on it. Look at how his appearance in the childhood of his father ends up inducing Hodor's fit and his descent into his simple madness. He can effect the past, not just see it. Yet, despite this ability to time travel Bran, even before he is the full Three Eyed Raven, never harnesses it to try and assist or save his family. That's a strange lack of choice for him.
No Free Will
By traveling to the past, seeing parts of the future, and taking no action in either realm, Bran helps to establish a dangerous precedent on the show, that there is no free will. Everything that happened and happens was destine to be so. Even Bran's effect on Hodor only brings about the present that Bran and Hodor already exist in. This means that no matter what Daenerys, or Jon, or Sansa did they were always destine to die, go into exile, and lose their family. That doesn't make sense for a show so focused on the moral choices of its characters.
Not Staying with Meera
It can be argued that the real Bran Stark disappears when he is taken over by the Three Eyed Raven. Thus, it isn't really Bran who lets Meera go once he is safe at Winterfell.
However, it's a hard pill to swallow after fans followed a character who was so attached to his family and lost them at such a young age. It doesn't really make sense that he would give up on the one person who has been a constant in his life quite so easily.
He Becomes King
Tyrion gives his final speech on why it makes perfect sense for Bran the Broken to become the next monarch of Westeros. However, anyone who watched Bran grow up knows this doesn't make any sense for his character. Bran wanted to be a knight when he was still a boy at Winterfell. He wanted to serve, not rule, it wasn't how he was raised (not being first born son). He was never quite as ambitious as Arya, and he only wanted to be able to ride his horse again. His ambitions and life experience didn't make him out to be a monarch.
No Dynasty
As king the Three Eyed Raven part of Bran is unlikely to find romance anywhere in the Six Kingdoms or Westeros, or in the North. He may be king, but again, aside from personality issues, it's a strange choice to make since Bran is unlikely to have heirs and to create a continuous dynasty to protect and rule over Westeros. Again, it doesn't make sense for him to rise to the highest office in the land only to leave the country reeling as soon as he dies of old age.
Wasn't Kinder to Hodor
Hodor, before Meera, did all the heavy lifting when it came to Bran and his travels as well as his well being. Bran does nothing more than boss Hodor around, take over his mind, and then leave him to die. While Bran is obviously broken hearted when Hodor dies "holding the door" it still doesn't help that Bran wasn't kinder to Hodor during their time together. Despite Hodor being relatively simple minded, it was always clear that he understood emotions, and had sensitive ones of his own. It doesn't make sense that the sweet boy Bran wasn't nicer to his assistant.
Didn't Keep the Family Together
After Bran is made king, and Sansa is made Queen of the North, Jon departs for the wall and Arya heads west of Westeros.
Not one of the Stark siblings, Bran included, argues for the family to stay together, despite seasons being spent trying to find one another. It doesn't make sense that neither Bran, nor anyone else, fought for the pack to stay strong to survive.
Didn't Stop to See Jon
A family had been torn apart and yet, when Bran makes it to the wall and meets Samwell Tarly, he does not stop to see Jon at Castle Black. Bran was far from becoming the Three Eyed Raven when he met Sam. It makes no sense that the boy who still existed as Brandon Stark wouldn't reach out to the one family member he knew he would be able to reach.
Didn't Warg
Fans saw Bran warg into his direwolf as well as into a raven from time to time but, sitting in his chair in the Godswood during the Battle of the Long Night, Bran never wargs into a dragon. Why he didn't take adventure of one of his best powers when the fate of the human race was on the line doesn't make any sense at all.