Classical chimera sea-horses would be horse/fish, also called a
There was also a sea-dog in classical middle ages tales.
Fairy could be insect or butterfly/man
Another for horse/bird would be Hippogriff.
Cocktrice: chicken (or bird)/snake
Canocephalus: dog/man (dog headed men)
Allocamelus: donkey/camel (head of donkey on camel)
Amphiptere: bird/snake (winged serpent)
Cockfish: chicken/fish (head of chicken, tale of fish)