OK, so I started with a list of the NHL starters (30 goalies who played at least 41 games) and narrowed it to the younger ones (more recent picks); I used 28 as the cutoff, which gave me 17 goalies.
Five Canadians, five Americans and seven Europeans (two Czechs, two Russians, two Swedes and one Finn)
Six from CHL (1 OHL, 1 QMJHL and 4 WHL), four from NCAA, three from Liiga, two from SHL and one each from ExtraLiga and KHL. Four out of five US goalies chose the NCAA route, in Europe Liiga was a popular option for young goalies.
List, sorted by games played:
Rank
Country
Name
League
Team
Age
Games
GAA
SPCT
3
CA
Samuel Montembeault
QMJHL
MTL
28
62
2.82
0.901
6
SE
Filip Gustavsson
SHL
MIN
26
58
2.56
0.914
7
US
Jake Oettinger
NCAA
DAL
26
58
2.59
0.909
8
US
Jeremy Swayman
NCAA
BOS
26
58
3.12
0.892
9
CZ
Karel Vejmelka
ExtraLiga
UTA
28
58
2.58
0.904
11
US
Joey Daccord
NCAA
SEA
28
57
2.75
0.906
13
CA
Mackenzie Blackwood
OHL
COL
28
56
2.55
0.912
14
FI
Ukko-Pekka Luukkonen
Liiga
BUF
25
55
3.2
0.887
16
CZ
Lukas Dostal
Liiga
ANA
24
54
3.1
0.903
17
US
Dustin Wolf
WHL
CGY
23
53
2.64
0.91
20
CA
Stuart Skinner
WHL
EDM
26
51
2.81
0.896
22
CA
Adin Hill
WHL
VGK
28
50
2.47
0.906
24
RU
Alexandar Georgiev
Liiga
SJS
28
49
3.71
0.875
25
RU
Pyotr Kochetkov
KHL
CAR
25
47
2.6
0.897
27
SE
Samuel Ersson
SHL
PHI
25
47
3.14
0.883
29
CA
Logan Thompson
WHL
WSH
27
43
2.48
0.91
30
US
Joseph Woll
NCAA
TOR
26
42
2.73
0.909