Here's what I think is the issue...and hopefully how to solve it...
In "Get Info", the "Artist" data field is applied at song level - so the artist(s) for the particular song. The "Album Artist" is normally the artist that the album as a whole is attributed to. In iTunes if you import (or create) a Compilation album then the "Artist" field at Album level should show by default as "Mixed" and is in gery text. Don't change this.
If you import a Compilation album from CD or download from Amazon or elsewhere, then the metadata field that equates to "Album Artist" often states "Various Artists", and is imported into iTunes so that the Album Artist field now shows "Various Artists" (and those creating their own Compilations may write Various Artists into the "Album Artist" field in iTunes). This confuses iTunes because it now thinks that there's an artist called "Various Artists", but when you tick the box to flag the album as a Compilation, it actually shows up in "Albums View" against the artist "Various Artists" because if there's an Album Artist name then it can't be a Compilation!
Simple solution - if you have a compilation album, delete Various Artists from the "Album Artist" field, tick the "Compilation" box and it'll appear under the Compilations section at the end of the Albums view in iTunes and (bizarrely) under the Album Title it'll show "Various Artists". If it doesn't, make sure the Artist field shows "mixed", and if not, delete the album from the iTuned library (don't delete the files though) and then re-import it. This should get it back to showing "Mixed", repeat the process and all should be good.