Only saw the great Hungarian side on newsreels/tv and the like but, as with any Blue growing up in the late 50s/early 60s, I took great pride in learning how Don Revie was used as a deep-lying centre forward on the same lines as Nandor Hidegkuti of that fabulous Hungarian team.
As for Rinus Michels and Vic Buckingham (quoted elsewhere in your follow up posts), I don't know if the following will be of interest to you and others. The so-called 'Father of Modern Dutch Football' was a guy from Manchester, Jack Reynolds. He had a largely undistinguished playing career, which started with City around 1900 (he was a winger but never actually played for the first team.. I think he had a bit of competition from some bloke called Meredith at the time..!) His brother Billy, a centre forward, was also on City's books at the time. Jack went to other clubs as a jobbing-player, then went into coaching, landing up in Amsterdam at the end of WWII as coach of Ajax.
At Ajax, Reynolds set up the club to (a) have a playing style based on possession and 'immediate pressure on opponents in possession' (b) have every team at the club, from junior levels upwards, playing in the same style (c) have training designed around individual players having constant access to a ball, emphasising technical skills over the 'English mentality' of training being all about lapping the pitch/physical exercise. This blueprint carried on throughout the 50s/60s (including Vic Buckingham's time at Ajax after he left Sheffield Wednesday in some disgrace - the Tony Kay/'Bronco' Layne/Peter Swan betting scandal) and was refined/extended and so on by Rinus Michels when he became coach, ultimately developing the great Ajax team which included Johann Cruyff which emulated the feat of Real Madrid of the 50s in winning three consecutive European Cups. Michels and Cruyff, as we all know, took this thinking/system to the Dutch national team (and, oh my! wasn't that a beautiful thing to watch between 1974-78?!) and to Barcelona. And again, we all know what happened when Cruyff took the managerial reins at Barca, with La Masia and Guardiola following on..
I remember reading one interesting quotation from Jack Reynolds not long after the time he took over at Ajax, in which he said 'For me, attack is and remains the best form of defence.. we play an open game, you can't afford to neglect the wings'
It may be something of a stretch to claim that what we are currently witnessing with our beloved Blues runs back all the way to Hyde Road but the links are there! Jack Reynolds took all he learned as a coach and added his own ideas to make something new. It took years of refinement by like-minded thinkers such as Buckingham/Michels/Cruyff and so on to get to the all-conquering club side that was Ajax and the mind-blowing 'total voetbal' of the Dutch 70s team. But that's where the great Barca side (and the great Spanish national side of the past decade, too) came from. And thank goodness Cruyff was at Barca to mentor Guardiola. And even greater thanks to the Sheik for enabling us to get the best of the best to come to Manchester. It really is the most beautiful football I've ever witnessed.