The new Frutiger from Linotype should cover all this.

The new new Frutiger has an oblique italic, so you want the old new Frutiger.

Frutiger says in Frutiger: The Complete Works that the oblique italics are more suitable for a sans. So the recent Neue Frutiger (2009) is more faithful to his vision than Frutiger Next (2000). It also reversed compromises that were made for the Linotype photo unit system, I believe.

Aside from whether "true" italics are suitable for a sans, the Frutiger Next italics are a bit off, with too much skew on the curves of a, d, g and q.
The derivative Myriad gets that detail right.

FF Kievit Pro has CE, Cyrillic, and Greek.

> is more faithful to his vision

For sure, I was talking about closeness to Myriad Pro Bold Italic, not making a value judgment on the italics.