The endings in Hyper Street Fighter II are the same as those in Super Street Fighter II Turbo. I've taken Akuma's endings from the Japanese version. The first is for beating Bison, the second is for beating Akuma with him. Thanks to Emill Morales for the translations of Akuma's endings.

Akuma (1, 2)
Balrog
Blanka
Cammy
Chun-Li (1, 2)
Dee Jay
Dhalsim
E. Honda
Fei Long
Guile
Ken
M. Bison
Ryu
Sagat
T. Hawk
Vega
Zangief