At 44", your child is tall enough to ride:
Magic Kingdom
-
Tomorrowland Speedway (w/ adult)
-
Barnstormer
-
Seven Dwarfs Mine Train
-
Big Thunder Mountain Railroad
-
Splash Mountain
-
Space Mountain
EPCOT
-
Soarin'
-
Test Track
-
Mission Space
Animal Kingdom
-
Kali River Rapids
-
Dinosaur
-
Expedition Everest
-
Flight of Passage
Hollywood Studios
-
Alien Swirling Saucers
-
Slinky Dog Dash
-
Star Tours
-
Tower of Terror
Rides with No Height Restrictions
Astro Orbiter
Buzz Lightyear's Space Ranger Spin
Dumbo
Haunted Mansion
"it's a small world"
Jungle Cruise
Liberty Square Riverboat
Mad Tea Party
Magic Carpets of Aladdin
Many Adventures of Winnie the Pooh
Peter Pan's Flight
PeopleMover
Pirates of the Caribbean
Under the Sea
WDW Railroad
Frozen Ever After
Gran Fiesta Tour (Three Caballeros)
Journey Into Imagination w/ Figment
Living with the Land
The Seas with Nemo & Friends
Spaceship Earth
Kilimanjaro Safari
Na'vi River Journey
TriceraTop Spin
Wildlife Express Train
Toy Story Mania