All parks offer both morning and evening EMH on select days/nights.
In the mornings, the parks open an hour early to resort guests, and in the evenings stay open up to 3 hours past park close for resort guests.
As far as the OP's question goes, here is a list of the attractions open during Animal Kingdom morning EMH's:
DINOSAUR
Discovery Island®Trails
It's Tough to be a Bug!®
Kilimanjaro Safaris®
Pangani Forest Exploration Trail®
Primeval Whirl®
TriceraTop Spin