Without looking at what everyone else has said, in my opinion:
Paris St. Germain
These are the teams which in my opinion are definately ahead of us and players would pick over us in most cases. Then there are other teams like Ajax, Lyon, Nice, Lazio, Valencia, Villarreal, Sporting, Marseille, Schalke, Shakhtar Donetsk and many many more who we are compteing with who are likely to still be a more attractive in a lot of cases. In fact we aren't even on level with these yet as we have done pretty much nothing in Europe in the past 5 years, all these teams and many more have. Stature wise we have a lot of catching up to do before we can even think about competing with the mega clubs listed above.
I think we are kidding ourselves if we think we will be challenging the top teams in England anytime soon unless we have an amazing season and fast track into the Champions League. Even then players will fear us being a one season wonder like Leicester.
The overarching point is that it takes time. I believe that with the current setup we have we will get there eventually but we have an extremely long way to go. The chances of us seriously competing with the clubs listed above with both signings and how we perform in the next 3-5 years on a regular basis is very very unlikely. It's all about small steps, clever management of the scouting network, signings and youth development, the days of doing what Man City and Chelsea did are over. We have to play the long (or mid) game.