Doing this as the exercise it is and thinking of the 3-4-3 and what it asks of each player is very different from just putting our best players down and forcing them into positions they wouldn't be particularly optimised to play in. Seeing a lot of Vidic and Stam as left and right CB's, for example. Distribution is not there for either in those positions nor does Vidic have the pace to play LCB with massive open space left in front of him. There's midfield and what the 4 in that system have to do, although our midfielders of the highest echelon cover that rather easily. The central attacking hub is an interesting affair. I'll try two teams.
All time:
-------------------------------------------------------------------------Schmeichel
--------------------------------------Varane--------------------------Ferdinand-----------------------Edwards
------------------------------------------------------Keane-----------------------------------Robson
Beckham---------------------------------------------------------------------------------------------------------------------------Giggs
-------------------------------------------------------Best--------------------------------------Charlton
--------------------------------------------------------------------------------Law
Glaring omission in no Ronaldo, but he's not a wingback, and certainly wouldn't be better at it than either of these two, and he doesn't have the two way intensity or aggression for the roles behind the striker. Best, like Giggs, was a great tackler, was tenacious and had the ability to turn his own tackles into attacking forays. Charlton needs no explanation. Edwards and Varane for the left and right CB roles for their mobility and ability to distribute. No Scholes because Keane Robson is a joke and the energy through that midfield is insane. Nobody is better than Law for the intense, tightly packed and lethal striker role. He will do everything needed, on both sides of the ball and the synergy of that front 3 is the best in English football history.
Modern:
-------------------------------------------------------------------------Van der Sar
--------------------------------------Varane--------------------------Ferdinand-----------------------Blind
------------------------------------------------------Keane-----------------------------------Carrick
Beckham---------------------------------------------------------------------------------------------------------------------------Giggs
-------------------------------------------------------Yorke--------------------------------------Cantona
--------------------------------------------------------------------------------Rooney
Modern is a lot harder, especially at LCB and the partner for Keane. Opted for Carrick because he can sit and also help Blind, who has the intelligence but his physical prowess would be the most tested of them all. Again no Ronaldo as the version that was here was a winger or wing-forward, not a striker, and he's not better at 2-way play than the two flankers here. Yorke could be switched to top and Rooney played behind, but that front three would interchange anyway.
3-4-3 of Amorim's kind relies on extremely high intensity and despite Scholes being a better player than Carrick, he's not got the legs or cover to play over what's there. Even have half a mind to switch Carrick for Matic for the extra physical strength and power.