Baby Names Starting With Joy: Find Joy Names at BabyNameWizard.com

Namipedia has pages on Joy as both a boy's name and a girl's name:

Browse & Research Names

Namipedia: The Baby Name Encyclopedia

Browse Girls' Names

A
B
C
D
E
F
G
H
I
J
K
L
M
N

O
P
Q
R
S
T
U
V
W
X
Y
Z

Browse Boys' Names

A
B
C
D
E
F
G
H
I
J
K
L
M
N

O
P
Q
R
S
T
U
V
W
X
Y
Z