*** Что я менял:
server-ip=0.0.0.0
online-mode=false

*** Что получилось после запуска:
#Minecraft server properties
#Thu Aug 18 14:33:21 EEST 2016
generator-settings=
op-permission-level=4
allow-nether=true
level-name=world
enable-query=false
allow-flight=false
announce-player-achievements=true
server-port=25565
max-world-size=29999984
level-type=DEFAULT
enable-rcon=false
force-gamemode=false
level-seed=
server-ip=0.0.0.0
network-compression-threshold=256
max-build-height=256
spawn-npcs=true
white-list=false
spawn-animals=true
hardcore=false
snooper-enabled=true
resource-pack-sha1=
online-mode=false
resource-pack=
pvp=true
difficulty=1
broadcast-console-to-ops=true
enable-command-block=false
gamemode=0
player-idle-timeout=0
max-players=20
spawn-monsters=true
generate-structures=true
view-distance=10
motd=A Minecraft Server