Well I liked it, but here's The Small Faces biggest 'hit':
which is more "melodic' and less 'heavy' than "Tin Soldier", but I still like it.Spoiler: Itchycoo Park
Perhaps Cream
They had some good songs, I sill prefer The Yardbirds though, but at least Cream is much better than solo Eric Clapton ("Layla" is an abomination that I will not forgive!)
Status Quo
I liked "Pictures of Matchstick Men", what other good songs did they do?
or Bon Jovi?
I'm ignorant of any good songs by Bonnie Jovi
On the more melodious of side the Beatles
There's many good songs recorded by The Beatles, but the O.P. already mentioned them as a band he liked.
(&billy joel) there's tons of choice.
Also mentioned by the OP., but I can only think of two and half songs of Billy Joel's that I like.