FOR MILITARY
Many resources are known such as the Red Cross, International Red Cross, and the Veterans Crisis Line, but these listed are also out there helping in a more personal way.
There are on average 2:1 veterans world wide who have served after 2001 than before 2001.
International Organizations
"supports US and Allied veterans by promoting positive mental health and combating veteran suicide through gaming"
"uniting Veterans and Service Members of the U.S. Armed Forces, through the power of gaming"
United States of America
For current US Statistics on veterans, look at US Facts in their Veteran section, this updates yearly.
Canada
Royal Canadian Legion: Canada’s largest Veteran support and community service organization, helping Veterans, members of the Canadian Armed Forces, RCMP and their families get the care and support they deserve.
Soldier On: "a program of the Canadian Armed Forces Transition Group (CAFTG) which contributes to the recovery of ill and injured CAF members and veterans by providing opportunities and resources through sport, recreational, and creative activities."
Support Our Troops: "meets the unique needs and special challenges faced by members of the Canadian Armed Forces community as a result of military service. It operates within Canadian Forces Morale and Welfare Services."
Veterans Transition Network: an independent network with Soldiers helping Soldiers, and getting them psychological care.
Wounded Warriors Canada: "is a nationally-recognized mental health service provider dedicated to serving ill and injured Trauma Exposed Professionals (TExPs) and their families in both official languages."
United Kingdom
Help For Heroes: Helps anyone who has served in the British Armed Forces(Regular and Reserve), families and who have worked alongside the British Armed Forces.
Royal British Legion: "From providing expert advice and guidance, to recovery and rehabilitation, through to transitioning to civilian life – we can be by their side every step of the way. And it’s not just members of the Armed Forces but their families too."