I started playing video games more often when I stopped drinking. It's definitely something to do to pass the time. I like the Grand Theft Auto and Red Dead Redemption games. It can take you a long time to complete everything because there are just so many side missions.
I like online games as well, because you can generally play them whenever you want; there's always someone on. It's always easy to get a game of Madden or Call of Duty going, because there's always other folks online ready to play.
Good luck to you, and welcome! I found this site on the day 7+ months ago when I knew I could no longer drink alcohol. Also went to AA that same day. Haven't had a drink since. There's lots of really great people here that have a lot of support and experience to share with you. Hope you hang around for a while!