Disney movies without fairies or princesses from Walt Disney Animation Studios, in chronological order:
Pinocchio
Dumbo
Bambi
Saludos Amigos
The Three Caballeros
Make Mine Music
Fun and Fancy Free
Melody Time
The Adventures of Ichabod and Mr. Toad
Alice in Wonderland (surprisingly no fairies)
Lady and the Tramp
101 Dalmatians
The Sword in the Stone
The Jungle Book
The Aristocats
Robin Hood (note: Maid Marian was not a princess)
The Many Adventures of Winnie the Pooh
The Rescuers
The Fox and the Hound
The Great Mouse Detective
Oliver and Company
The Rescuers Down Under
The Lion King
The Hunchback of Notre Dame
Hercules (nymphs =/= fairies)
Tarzan
Dinosaur
The Emperor's New Groove
Lilo and Stitch
Treasure Planet
Brother Bear
Home on the Range
Chicken Little
Meet the Robinsons
Bolt
Winnie the Pooh
Wreck-It Ralph (Without spoiling it, no, president)
Big Hero 6
Movies with Princesses and/or Fairies:
Snow White and the Seven Dwarfs (princess)
Fantasia (sugar plum fairy segment)
Cinderella (princess)
Peter Pan (fairy)
Sleeping Beauty (Both)
The Black Cauldron (Both)
The Little Mermaid (princess)
Beauty and the Beast (princess)
Aladdin (princess)
Pocahontas (while not a real princess, she's listed under the Disney Princess branding)
Mulan (see above)
Fantasia 2000 (Firebird segment. Well, it's a sprite, but close enough)
Atlantis: The Lost Empire (princess)
The Princess and the Frog (read the title)
Tangled (princess)
Frozen (two princesses)
I'd say the first list is much bigger.