That thread title...
Off-the-ball movements can be categorized into essentially two I think;
1.natural
instinct and
2.reading of the game. The best combine both either because of their football intelligence or they improved on it from experiences and coaching.
Football is also huge, and essentially there are
3 basic areas and transitions of playing. Simply just divide it into three - atk, mid and def. Some players only shows good off-the-ball movements in only one of those but not the other two areas eg. CR7 are so good in atk, but not really in mid bar some aspects of it and never had good off-the-ball movements when defending. We could divide the 3 basic areas into further divisions eg. MID has build-up, wings, possession play, centre, etc of which midfielders may only be best at some but not all of it.
I assume thread is all about searching for players that pretty much dominated all atk, mid & def, or almost all the many aspects of off-the-ball movements yeah? That's hard. At best is midfielders or full backs as they are the most likely to have and develop both atk and def while also have the experiences to develop mid, all related with off-the-ball movements of course. B2B are the best bet but not many have good off-the-ball movements. Not all FBs too have good defensive off-the-ball movements, normally it's on attacks where they show their good off-the-ball movements. Keepers too can have good off-the-ball movements, but often they don't need it, except good sweepers and when they're in the box, seriously a lot of GKs are pointless to have in the box when they overlap like they don't know what to do.
I'll say it's...
Best
Makelele, Schweinsteiger and Lahm, they're good in everything literally I can't find any flaws in their off-the-ball movements whether it's in ATK, MID nor DEF. If we look at specifics, they are not the best at certain aspects since the specialized are better at it, nonetheless they are the best all-rounders.
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If we're focusing on specifics...
ATK
Specialist scoring - CR7 in being at the right spot and movements to get the end of the passes and crosses, both in the air and ground. He's the best at it.
General/All-around - Muller for being so good in everything related to off-the-ball movements in the final third of the field.
Specialist support striker - Raul (Real Madrid)
MID
Attacking at the 10 and high half spaces - David Silva
General - Makelele & Schweinsteiger, many forgot how good Makelele is in attacking high up the pitch.
Possession - Pirlo, need to move around well to get the ball, joining in keeping and dominating possession, not hiding, while your marker is sticking on you all the time.
Build up - Scholes, starting attacks by receiving the ball need good off-the-ball movements repetitively to beat markers and not hiding, he's the best at it.
Defending - Carrick, great at screening defense and marking/blocking passing lanes.
DEF
attacking - dani alves for FB, Ramos for CB
General - Lahm
defensive - Nesta
GK
sweeping - Neuer
GK overlap in box during set-piece - Schmeichel