1st 6 I'd say. They went 30+ years without winning after the mid 60s, before beating us in 98. Rest is history
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I don't see how a barca fan would disagree with a straight face, youre both right here, it's just a fun game to count them, since Milan started doing it in 2007 to claim to be the biggest club in the world.
UEFA Cup used to be a top competition. To demonstrate, picture this:
Real, Juve, Liverpool, Bayern, PSG, Porto, Ajax etc. in the CL while:
barca, Atletico, Sevilla, City, Chelsea, United, inter, Lazio, Atalanta, Dortmund, Leipzig, Gladbach(?), Benfica, PSV, Marseille(?) etc. make it to UEFA Cup. Would you say it's inferior to the above? It's a different competition in the 90s and prior completely to today, that's why Bayerns, Juventus', inters, Reals, victories in it are more valuable than some recent ones. Compare the difficulty to the early CL editions and you get a even better understanding at what the UEFA Cup once was.
I would also like to separate the Super Cup and World Cup from the others. Those are (in the words of tuz) 'glorified friendlies' and can't hold the same value as a competition that is played over an entire season. So if you would want to value them accordingly, I'd say CL is 5, EL is 4, Cup winners Cup 3, and the other two a 1. Though that's still flawed because again, CL in the 60s =/= CL today and UEFA Cup in the 90s =/= EL today. There is really no proper way to evaluate it properly unless you do tons of research, which no one will bother to