If I was limited to one word in describing the various composers, I’d say “solemnity” best describes Bach.
Haydn — “precision”
Mozart — “exuberance”
Sebelius — “pride”
Grieg — “mystery”
Handel — “staid”
Wagner — “sweeping”
Beethoven — “majesty”
Chopin?
I would disagree with Handel as “Staid.” His concertos alone are quite daring in many ways; but his music is serious and somewhat in the traditional sense. I would definitely agree that Mozart can be characterized as “Exuberant.”
Personally, I’m partial to Stravinsky and Haydn.
Brahms; Expansive.
Bach: Mysterious (among other adjectives)