You can't be serious? Manchester City are inferior to last year when they had key players like Yaya Toure, Sergio Aguero and David Silva severely under-perform under the guidance of Roberto Martinez who didn't have nearly the same effect Pellegrini has had on City's quality of attacking football.
Chelsea spent half a season under a certain Roberto Di Matteo and then controversially appointed Rafael Benitez who did a reasonable job. They had a lot of the underlying problems they have today with their issues in the striking department, but their star players were still bedding into the league and team like Oscar and Hazard. Two players who have excelled under a functional, winning-machine managed by arguably the best manager in the world. Clear improvement.
Arsenal have been rejuvenated this season by the improvement of certain players like Szczesny, Ramsey and Sagna. Mertesacker and Koscielny have been - by and large - a defiant centre back duo and they have also added a world class player in Ozil who has been instrumental in their early season form. They can still be fragile, but their are a generally more resilient and formidable team than last year.
I don't even have to go into Liverpool's improvement. Yes, they have a wafer-thin squad, but it's a squad that hasn't been stretched due to no European football. Other sides shouldn't be held accountable for that, you have to factor in everything when assessing a team and Liverpool's schedule this season means not too much importance needs to be placed on the size of their season. Of course, with European football next season it's a whole different ball game however.
It defies belief that someone can suggest these sides are inferior to what they were last season. What you are saying is absolute bollocks I'm afraid.