Hi Ajedo
You’ve given me the results but not the original data so I have to say it may well be that your source data is a better match to these compilations then the original songs. Assume for a minute you have a complete compilation album you’d probably ant to match to the same album rather than split the songs over into their original albums. f you email support@jthink.net your support files (Advanced/Create Support Files) that would help me get a clearer picture of your situation.
Having said all that please try restarting Jaikoz and enabling Preferences:Remote Correct:Match:Prefer do not Match to Various Artist Compilation and Prefer do not Match to Single Artist Compilation that should solve the issue. If you saved the incorrect matches you need to clear the MB Recording id field or disable Preferences:MusicBrainz:Automatch:Do not match online if already have a Musicbrainz Recording Id to make Jaikoz match again.
As you say these are popular songs, but because they are popular songs they can be found on many different albums, so in that sense it is more difficult to match them to the right album then more obscure songs.