Ya know...all the things Hook and Cutthroat Island were using as signposts.

Looking across Hollywood's Golden Age into the early 1960s:
*****
The Sea Hawk - because he's the GOAT! The GOAT!
Mutiny on the Bounty (1962) - one of the greatest scores from a troubled production

****1/2
Captains Courageous - stop what you're doing and go hear the Legendary Hollywood suite
The Sea Wolf - Korngold's nastiest work and one of the more turbulent maritime scores of the era
The Black Swan - perhaps Alfred Newman's most underrated score
Beneath the 12-Mile Reef - harps for days!
All The Brothers Were Valiant - perhaps Miklós Rózsa's most underrated score
Moby Dick (1956) - not bad for being Sainton's only completed feature film score
The Buccaneer - at least with the style of Bernstein's score, though that movie doesn't really involve the high seas

****
Captain Blood - a warm-up act for The Sea Hawk
Plymouth Adventure - stop what you're doing and go heard the suite Elmer Bernstein recorded
The Enemy Below - Leigh Harline FTW