I disagree with you who say the Champions League is Real Madrid League, it would sound more beautiful if you said Real Madrid is the king of the Champions League based on the trophies they have won. This is a competition, all teams that qualify for the Champions League have a chance to win the trophy, who can guarantee that this season Real Madrid will win the Champions League again.
Real Madrid performance under Ancelotti has improved dramatically, but that doesn't mean they can't be knocked out of the Champions League. Other clubs have used the transfer market to strengthen their squads, perhaps we will see a new champion this season.
But, I don't see any great signing from other teams, actually it's Real Madrid that made a great signing lol.
The fact is, if Real Madrid can enter to final match, they're high unlikely will not lose, so if we want to see a new champion, make sure Real Madrid get knockout before final.
Last season, Real Madrid dominated both the Champions League and La Liga. They were topping both leagues, and they managed to hit two titles at the end, so it is not that surprising to me. However, last season, La Liga did not show any sign of overtaking Real Madrid in the table because Real Madrid did not show any weakness in both the La Liga and the Champions League. Real Madrid were very strong last season, and everybody knew that they would get the title at the end of the day.
Real Madrid not really dominated La Liga in the last season because Girona can stand in top position till the middle of season, but Real Madrid overtake them and remain in the top position until the season ends.