They do, but many chapters are not as active as they should be. There is a bit of a struggle between old Vietnam War guys who want to stay in charge (and drink) and “younger” OEF/OIF guys who want to change the organization (and probably drink).
That's why I suggested "shopping around" if possible. The first one I joined was mostly Vietnam and Cold War veterans. They were social and drank a bit ($2 beers), but not as organized and a little less charity oriented. Luckily there was another one nearby that I transferred my membership to. I have been to two meetings and learned a lot about the charitable donations they make.
Chuck had a point about VFW membership. This past week they/we voted in someone whose qualifying award was a Global War on Terror medal. I have to assume it was Expeditionary and not Service. Some members were in their salt and pepper VFW uniforms with all their ribbons and I didn't see a qualifying
ribbon on most of their uniforms. With fewer and fewer Vietnam vets, the Iraq, Afghanistan, and Persian Gulf (oops, Arabian Gulf) vets should be the majority, but I have not seen that. FWIW, the American Legion seems to be doing a bang up job of recruiting new members. Their ads on Facebook are funny, well targeted, and good quality.