As adjectives the difference between peaky and beaky
is that peaky is sickly; peaked while beaky is having a beak.
peaky
English
Adjective
(er)
Sickly; peaked.
Characterised by peaks.
beaky
English
Adjective
(
en adjective)
Having a beak.
Beak-like.
Having a nose which resembles a beak.