curious
inquiring
agape
agog
all agog
analytical
burning with curiosity
busy
busybody
consumed with curiosity
exploring
forward
ghoulish
gossipy
impertinent
inquisitorial
interested
intrusive
investigative
itchy
meddlesome
meddling
morbid
morbidly curious
nosy
officious
open-eyed
openmouthed
overcurious
presumptuous
probing
prurient
prying
pushing
pushy
questioning
quizzical
scopophiliac
searching
self-appointed
snooping
snoopy
supercurious
voyeuristic
affectionate
ambitious
appreciative
cautious
eager
inquire
mischievous
observant
shrewd
shy
suspicious
talkative
thoughtful