If you take into account the quality of individual players then the Arsenal Invincibles team were the best ever in the English top flight within anyone's living memory.This is supported by the Invincibles achievement.
Firstly, the second snetence there is nonsense, the stats in no way confirm the first sentence. You could just as easily claim that Chelsea 04/05 were the best as they won more matches than anybody else has, and scored more points than anybody else has. In fact, given that the league is all about winning points, you'd have to give it to Chelsea over Arsenal on that basis.
So at best your first sentence is subjective. You can belive it if you like, but personally I'm not so sure.
Vieira,Bergkamp and Henry certainly fulfill the "individual players" part - they'd be looking for a place in anybody's all-time Premier League XI (though a couple of them may have to settle for sitting on the bench). Pires and Ljungberg were great but wouldn't make many people's Premier League XI, and while the defence were a fantastic unit, individually none of them would get close other than Cole, and to be honest he would mostly be getting in based on his work for Chelsea.
But moreover, I would look at how the team played, and other than the brilliance of Henry, the main highlight was the defensive organisation. For me, this makes them struggle to take on United's late 90s team, whihc was not only packed with individuals who would be considered amongst the best ever in the Premier League, but played a much more entertaining brand of football.
As far as "living memory" goes, I'm sure there are Scousers who were around in the late 70s and early 80s who would also take issue with you. But as I say, it's all subjective. I've no problem with you preferring that Arsenal team, but don't try and claim it as some kind of provable fact.