Unfortunately there’s no ‘fix’ for the described behavior that I’m aware of.
However, there are a lot of free/paid utilities that will not only do what you need, but also improve the experience overall.
I could list you a dozen utilities but instead I will let you do your homework and decide what’s best for you. This list contains an important amount of utilities for iTunes controlling.
I can tell you which ones I use and my experience with them.
1) Coversutra: It’s a very well designed paid application. You can check their website for a more comprehensive summary (and a trial). The developer (Sophia) reads the suggestions and bug reports.
Pros: It’s very good for searching, very good. Think of a spotlight music dedicated. You can easily switch between playlists, songs, artists, etc. All from the menubar. (I activate it with shift + cmd + space. It also has a controller where you can define your keys for showing album art, define song rating, next, prev, pause, etc. The typical controller stuff. You will rarely need the keyboard.
Cons: Although it has been optimized several times and results come extremely fast, scrolling the results is not as fast as one would expect. Sometimes certain actions might need a “click”.
All in all, it’s a product that works fantastically for me.
2) Launchbar: I use Launchbar for everything, and sometimes for music too. Since it has iTunes support, you can easily type the name of a song/artist/list and will happily play it. What it does is create a playlist called Launchbar and whenever you make a selection, it adds the relevant songs to that list, therefore when you pause/play, things work normally. You can also do the same things (pause, play, next) from launchbar.
Pros: It’s also very fast and it does a lot of things (can’t live without it!)
Cons: Might be overkill for a song launcher/iTunes controller only.
Don't know of a precise solution to what you're asking, but here's a possible workaround.
Create a playlist of all the songs rated 5 stars. Change the viewable columns for the playlist to show the Album Rating. Set the rating of all of the albums to 5 stars (I believe, unfortunately, that this has to be done on Windows on an album-by-album basis). Now create a new playlist for all the albums with 5 stars.
Best Answer
iTunes doesn't move to the next song by default, it moves to the next checked song.
If all are unchecked, that's your issue.
To recheck, in 'Songs' mode, select the top one, scroll to the bottom, shift/click the last one.
Right click > check selection.
[it might say 'tick' not check, I'm not sure if that's input language-dependant…
US check == UK tick]