I noticed two types of songs.
A strong chord progression (or a strong bass line) and then the melody follows as an example, Pachelbel's Canon in D. In this case the chord progression remains consistent throughout the whole song and the song is more centered around the rhythm/harmony. The melody just supports what the harmony is doing. I noticed this happens alot in modern/pop songs. Somebody I used to know by Gotye. Someone like you by Adele. Shape of You by Ed Sheeran.
Another is there's no chord progression. Or no repetitive progression at least. The chords of the song just support the main melody but on their own the chords don't really make a song. As an example, Here comes the sun by the Beatles. Bohemian Rhapsody by Queen. La Campenella by Liszt. Schindler's list by John Williams.
Are those the main two types of songs? So if I hear a strong chord progression I chalk it up as "harmony based". and if I hear a strong melody that is just supported by chords it's "melody based"?
To give some context, in my own practice I've been focusing more on melody based songs (2.) that are supported by harmony/chords, but now I want to focus on more songs based on progression/rhythm (1.).
When jamming with people I noticed that when somebody comes in with a strong chord progression it's like everyone gravitates to it and the person with the strongest progression eventually wins everyone over. Whereas if I stick to melodic based songs it's not as magnetic. This might be a generalization but that's what I've found in practice.