For what ists worth.
As far as League results go United have a winning head to head record against every other team team they have met. Up until a couple seasons ago Bolton were the only team leading them in head to head wins.
That is despite having several bad spells, United has always been a big side and up for it against Arsenal, Liverpool, Everton and Spurs..
Some examples:
Arsenal    7 games behind
Liverpool   4 games behind
Man Shitty 17 games behind
Spurs     30 games behind
Everton   12 games behind
Newcastle  25 games behind
Bolton    1 game behind (probably 2 now)
Chelsea (jokey big side) 18 games behind